Attack damage
Attack damage is the amount of damage a unit is dealing with an unmodified basic attack; the base values are different for every hero. The total attack damage of a unit is the sum of main attack damage and bonus damage. Attack damage is reduced by armor.
Contents
Final attack damage[edit]

Formula:
- Damage =
- { [Main Damage × (1 + Σ Percentage Bonuses) + Flat Bonuses]
- × Crit Multiplier - Blocked Damage }
- × Armor Multipliers
- × General Damage Multipliers
Base attack damage[edit]
Base attack damage is the part of the main attack damage that never changes throughout a game. It consists of two values, a minimum and maximum amount. Every time an attack is issued, a random value between these two extremes is chosen. The best example for this is Chaos Knight since his base damage varies between 29 and 59. The difference of 30 is always part of the total attack damage, no matter how many attributes or how much bonus damage is acquired.
Main attack damage[edit]
Main attack damage is the damage value shown in white numbers on a hero's statistics consisting of the base damage with the damage granted by a hero's primary attribute on top. The only way to improve a hero's main attack damage is to increase its primary attribute. Attribute points can be increased by acquiring levels, as well as specific skills and items. This also means that the value of items granting attribute points differs depending on whether it is equipped by a strength, agility or intelligence hero.
Formula:
main damage = base damage + primary attribute points
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Hero attack damage | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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Percentage bonus damage[edit]
Bonus damage from percentage sources such as Vladmir's Offering, Vengeance Aura, and Packleader's Aura add an amount of bonus damage based on the affected unit's main attack damage, but do not multiply the raw bonus damage from other abilities or items.
Flat bonus damage[edit]
Bonus damage is the damage value shown in green numbers on a unit's statistics. Whenever an item or skill shows a +damage value, it increases the bonus damage of the affected unit.
For example Power Treads give + bonus damage. Static Link adds negative bonus damage which is equal to a reduction.
Formula
bonus damage = sum of bonuses + sum of reductions
.
Critical strike multiplier[edit]
The highest critical strike increases main and bonus damage by a certain factor.
Blocked damage[edit]
Damage Block is a passive ability that gives the wielding unit a chance to block some physical damage from an attack. Only one source of damage block can trigger per attack.
Armor value multiplier[edit]
The target's armor influences the attack damage by a factor that asymptotically lies between 0 and 2 and is 1 for a target that has no armor.
Formula
damage multiplier = 1 - ((0.052 × armor) ÷ (0.9 + 0.048 × |armor|))
.
Armor type multiplier[edit]
Depending on the combination of the attack damage type and armor types, an armor type multiplier modulates the attack damage.
General damage multipliers[edit]
A couple of abilities like Bristleback, Stampede and Penitence modify all incoming damage, including physical attack damage.
Attack damage types[edit]
There are several different types of attack damage, which determine how much damage a unit's attack deals against certain armor types. Each of the 4 different attack types deals either reduced, increased, or unchanged damage against each of the armor types, on top of it being also manipulated by the armor value of the target.
Example
A hero with 100 attack damage attacking a siege unit which has 0 armor deals 50 damage to it, because the attack type "hero" deals 50% less damage against the armor type "structure", which is the siege creeps' and all buildings' armor type. If the siege creep would gain 5 armor, the 100 damage attack would deal (100 * 0.8 * 0.5) = 40 damage. The same attack would deal 80 damage to a unit with any other armor type, since attack type hero deals full damage to them.
This table shows how much damage each attack damage type deals against each armor type, and which units use which attack damage type:
Instant attacks[edit]
Several abilities make use of the hero's regular attacks. However, these attacks are instant. This means they do not use the hero's attack animation, are independent from attack speed and ignore the regular downtime between attacks. If an instant attack is performed by a ranged hero, it still uses their regular attack projectile for the attack, unless it is set not to. If an instant attack occurs while already attacking an enemy normally, it does not interfere with the regular attack. They do not interfere with any other actions of the hero either, meaning they do not interrupt movement, do not cancel spell casts and do not stop channeling spells of the hero.
Since instant attacks do not use attack animations and jump straight to the attack point, they cannot proc effects which react on the start of an attack, like Untouchable or Moment of Courage. However, they can proc effects which react on attack hit, such as Counter Helix and Return, although there are some exceptions to this. Instant attacks may proc on-hit effects only when they are allowed to. An instant attack which is not allowed to proc attack modifiers is not allowed to proc on-hit effects either. Just like regular attacks, instant attacks also cause the attacking hero to get revealed if attacking from the Fog of War.
The following abilities make use of instant attacks:
Drow Ranger – Marksmanship1
Ember Spirit – Sleight of Fist
Faceless Void – Time Lock
Gyrocopter – Flak Cannon2
Gyrocopter – Side Gunner1
Io – Tether3
Juggernaut – Omnislash5
Legion Commander – Moment of Courage
Medusa – Split Shot4
Monkey King – Boundless Strike
Morphling – Waveform3
Pangolier – Swashbuckle
Phantom Assassin – Stifling Dagger
Puck – Dream Coil3
Riki – Tricks of the Trade
Shadow Shaman – Serpent Ward split shot1 2
Sniper – Assassinate1
Tiny – Tree Throw
Tidehunter – Anchor Smash
Weaver – Geminate Attack
1 Requires Aghanim's Scepter.
2 These instant attacks may not proc any attack modifiers or on-hit effects.
3 Requires talent.
4 Split Shot may not proc any attack modifiers or on-hit effects, unless the required talent is chosen.
5 Number of instant attacks is dependent on Juggernauts attack speed.
Attack damage increasing items[edit]
Strength[edit]
Item | Value | Item cost | Cost per value point |
---|---|---|---|
Abyssal Blade | 10 | 6650 | 665 |
Aghanim's Scepter | 10 | 4200 | 420 |
Armlet of Mordiggian | 56 | 2380 | 42.5 |
Belt of Strength | 6 | 450 | 75 |
Black King Bar | 10 | 4050 | 405 |
Bracer | 6 | 515 | 85.83 |
Buckler | 2 | 800 | 400 |
Circlet | 2 | 165 | 82.5 |
Crimson Guard | 2 | 3700 | 1850 |
Crown | 4 | 450 | 112.5 |
Dagon 1 | 5 | 2700 | 540 |
Dagon 2 | 5 | 3950 | 790 |
Dagon 3 | 5 | 5200 | 1040 |
Dagon 4 | 5 | 6450 | 1290 |
Dagon 5 | 5 | 7700 | 1540 |
Dragon Lance | 12 | 1900 | 158.33 |
Drum of Endurance | 6 | 1525 | 254.17 |
Echo Sabre | 24 | 2650 | 110.42 |
Ethereal Blade | 10 | 4700 | 470 |
Eye of Skadi | 25 | 5500 | 220 |
Gauntlets of Strength | 3 | 135 | 45 |
Ghost Scepter | 5 | 1500 | 300 |
Guardian Greaves | 5 | 5375 | 1075 |
Headdress | 2 | 525 | 262.5 |
Heart of Tarrasque | 45 | 5200 | 115.56 |
Heaven's Halberd | 45 | 3450 | 76.67 |
Helm of the Dominator | 2 | 1875 | 937.5 |
Hurricane Pike | 15 | 4600 | 306.67 |
Iron Branch | 1 | 50 | 50 |
Kaya and Sange | 28 | 4100 | 146.43 |
Linken's Sphere | 13 | 5050 | 388.46 |
Magic Wand | 3 | 450 | 150 |
Manta Style | 10 | 4700 | 470 |
Mekansm | 5 | 2275 | 455 |
Meteor Hammer | 12 | 2625 | 218.75 |
Necronomicon 1 | 10 | 2400 | 240 |
Necronomicon 2 | 15 | 3700 | 246.67 |
Necronomicon 3 | 20 | 5000 | 250 |
Null Talisman | 3 | 515 | 171.67 |
Ogre Axe | 10 | 1000 | 100 |
Pipe of Insight | 2 | 3025 | 1512.5 |
Power Treads (Strength) | 22 | 1380 | 62.73 |
Reaver | 25 | 3000 | 120 |
Rod of Atos | 12 | 2750 | 229.17 |
Sange | 24 | 2050 | 85.42 |
Sange and Yasha | 16 | 4100 | 256.25 |
Satanic | 25 | 5300 | 212 |
Scythe of Vyse | 10 | 5700 | 570 |
Silver Edge | 45 | 5550 | 123.33 |
Skull Basher | 35 | 2950 | 84.29 |
Solar Crest | 10 | 3875 | 387.5 |
Soul Ring | 6 | 770 | 128.33 |
Spirit Vessel | 2 | 2975 | 1487.5 |
Ultimate Orb | 10 | 2150 | 215 |
Urn of Shadows | 2 | 875 | 437.5 |
Veil of Discord | 6 | 2050 | 341.67 |
Wraith Band | 3 | 515 | 171.67 |
Values may include portions from actives or auras. |
Agility[edit]
Item | Value | Item cost | Cost per value point |
---|---|---|---|
Aghanim's Scepter | 10 | 4200 | 420 |
Band of Elvenskin | 6 | 450 | 75 |
Blade of Alacrity | 10 | 1000 | 100 |
Bracer | 3 | 515 | 171.67 |
Buckler | 2 | 800 | 400 |
Butterfly | 60 | 5475 | 91.25 |
Circlet | 2 | 165 | 82.5 |
Crimson Guard | 2 | 3700 | 1850 |
Crown | 4 | 450 | 112.5 |
Dagon 1 | 5 | 2700 | 540 |
Dagon 2 | 5 | 3950 | 790 |
Dagon 3 | 5 | 5200 | 1040 |
Dagon 4 | 5 | 6450 | 1290 |
Dagon 5 | 5 | 7700 | 1540 |
Diffusal Blade | 20 | 3150 | 157.5 |
Dragon Lance | 12 | 1900 | 158.33 |
Drum of Endurance | 6 | 1525 | 254.17 |
Eaglesong | 25 | 3200 | 128 |
Ethereal Blade | 40 | 4700 | 117.5 |
Eye of Skadi | 25 | 5500 | 220 |
Ghost Scepter | 5 | 1500 | 300 |
Guardian Greaves | 5 | 5375 | 1075 |
Headdress | 2 | 525 | 262.5 |
Helm of the Dominator | 2 | 1875 | 937.5 |
Hurricane Pike | 20 | 4600 | 230 |
Iron Branch | 1 | 50 | 50 |
Linken's Sphere | 13 | 5050 | 388.46 |
Magic Wand | 3 | 450 | 150 |
Manta Style | 26 | 4700 | 180.77 |
Mekansm | 5 | 2275 | 455 |
Null Talisman | 3 | 515 | 171.67 |
Pipe of Insight | 2 | 3025 | 1512.5 |
Power Treads (Agility) | 22 | 1380 | 62.73 |
Rod of Atos | 12 | 2750 | 229.17 |
Sange and Yasha | 16 | 4100 | 256.25 |
Scythe of Vyse | 10 | 5700 | 570 |
Silver Edge | 45 | 5550 | 123.33 |
Slippers of Agility | 3 | 135 | 45 |
Solar Crest | 10 | 3875 | 387.5 |
Spirit Vessel | 2 | 2975 | 1487.5 |
Ultimate Orb | 10 | 2150 | 215 |
Urn of Shadows | 2 | 875 | 437.5 |
Veil of Discord | 6 | 2050 | 341.67 |
Wraith Band | 6 | 515 | 85.83 |
Yasha | 16 | 2050 | 128.13 |
Yasha and Kaya | 16 | 4100 | 256.25 |
Values may include portions from actives or auras. |
Intelligence[edit]
Item | Value | Item cost | Cost per value point |
---|---|---|---|
Aghanim's Scepter | 10 | 4200 | 420 |
Blade Mail | 32 | 2200 | 68.75 |
Bloodthorn | 93 | 7205 | 77.47 |
Bracer | 3 | 515 | 171.67 |
Buckler | 2 | 800 | 400 |
Circlet | 2 | 165 | 82.5 |
Crimson Guard | 2 | 3700 | 1850 |
Crown | 4 | 450 | 112.5 |
Dagon 1 | 18 | 2700 | 150 |
Dagon 2 | 21 | 3950 | 188.1 |
Dagon 3 | 24 | 5200 | 216.67 |
Dagon 4 | 27 | 6450 | 238.89 |
Dagon 5 | 30 | 7700 | 256.67 |
Diffusal Blade | 10 | 3150 | 315 |
Drum of Endurance | 6 | 1525 | 254.17 |
Echo Sabre | 22 | 2650 | 120.45 |
Ethereal Blade | 10 | 4700 | 470 |
Eul's Scepter of Divinity | 10 | 2750 | 275 |
Eye of Skadi | 25 | 5500 | 220 |
Force Staff | 10 | 2250 | 225 |
Ghost Scepter | 5 | 1500 | 300 |
Guardian Greaves | 5 | 5375 | 1075 |
Headdress | 2 | 525 | 262.5 |
Helm of the Dominator | 2 | 1875 | 937.5 |
Hurricane Pike | 13 | 4600 | 353.85 |
Iron Branch | 1 | 50 | 50 |
Kaya | 16 | 2050 | 128.13 |
Kaya and Sange | 28 | 4100 | 146.43 |
Linken's Sphere | 13 | 5050 | 388.46 |
Magic Wand | 3 | 450 | 150 |
Manta Style | 10 | 4700 | 470 |
Mantle of Intelligence | 3 | 135 | 45 |
Mekansm | 5 | 2275 | 455 |
Meteor Hammer | 12 | 2625 | 218.75 |
Mystic Staff | 25 | 2700 | 108 |
Null Talisman | 6 | 515 | 85.83 |
Oblivion Staff | 20 | 1650 | 82.5 |
Octarine Core | 25 | 5900 | 236 |
Orchid Malevolence | 55 | 4075 | 74.09 |
Pipe of Insight | 2 | 3025 | 1512.5 |
Power Treads (Intelligence) | 22 | 1380 | 62.73 |
Robe of the Magi | 6 | 450 | 75 |
Rod of Atos | 20 | 2750 | 137.5 |
Scythe of Vyse | 35 | 5700 | 162.86 |
Shiva's Guard | 30 | 4750 | 158.33 |
Silver Edge | 45 | 5550 | 123.33 |
Solar Crest | 10 | 3875 | 387.5 |
Spirit Vessel | 2 | 2975 | 1487.5 |
Staff of Wizardry | 10 | 1000 | 100 |
Ultimate Orb | 10 | 2150 | 215 |
Urn of Shadows | 2 | 875 | 437.5 |
Veil of Discord | 15 | 2050 | 136.67 |
Wraith Band | 3 | 515 | 171.67 |
Yasha and Kaya | 16 | 4100 | 256.25 |
Values may include portions from actives or auras. |
Bonus damage[edit]
Item | Value | Item cost | Cost per value point |
---|---|---|---|
Armlet of Mordiggian | 31 | 2380 | 76.77 |
Battle Fury | 45 | 4400 | 97.78 |
Blade Mail | 22 | 2200 | 100 |
Bloodthorn | 68 | 7205 | 105.96 |
Broadsword | 18 | 1200 | 66.67 |
Butterfly | 25 | 5475 | 219 |
Daedalus | 80 | 5330 | 66.63 |
Demon Edge | 42 | 2200 | 52.38 |
Desolator | 50 | 3500 | 70 |
Divine Rapier | 330 | 6000 | 18.18 |
Echo Sabre | 12 | 2650 | 220.83 |
Faerie Fire | 2 | 70 | 35 |
Heaven's Halberd | 25 | 3450 | 138 |
Kaya and Sange | 12 | 4100 | 341.67 |
Maelstrom | 24 | 2700 | 112.5 |
Mask of Madness | 10 | 1775 | 177.5 |
Oblivion Staff | 10 | 1650 | 165 |
Orchid Malevolence | 30 | 4075 | 135.83 |
Phase Boots | 18 | 1480 | 82.22 |
Quarterstaff | 10 | 875 | 87.5 |
Radiance | 65 | 5150 | 79.23 |
Ring of Basilius | 7 | 500 | 71.43 |
Sange | 8 | 2050 | 256.25 |
Silver Edge | 30 | 5550 | 185 |
Skull Basher | 25 | 2950 | 118 |
Values may include portions from actives or auras. |
Attack damage increasing abilities[edit]
Percentage bonus[edit]
- Attack Damage Bonus: 100%/200%/300%/400%
Duration: 14
Number of Attacks: 1 - Self Attack Damage Bonus: 80%/120%/160%
Allies Attack Damage Bonus: 0 (75%/100%/125%)
Duration: 25
The Aghanim's Scepter upgrade grants allies a damage bonus in a 900 radius around Sven. - Attack Damage Bonus: 25%/30%/35%/40%
Number of Attacks: 5 - Attack Damage Bonus: 30%
Radius: 900 - Attack Damage Bonus: 15%
Radius: 900 - Attack Damage Bonus: 100%
Duration: 45 - Attack Damage Bonus: 15%
Radius: 900 - Based on the ability the illusion is created by, it may deal more attack damage than the hero it is based on.
Flat bonus[edit]
- Attack Damage Bonus: 31
- Attack Damage Bonus per Exort Instance: 3/7/11/15/19/23/27
Maximum of 3 Exort instances. - Attack Damage Bonus: 70/100/130
Duration: 5 - Attack Damage Bonus: 65
Damage is granted as the projectile hits the target and immediately removed afterwards, so that only the dagger can use it. - Attack Damage Bonus: 20/40/60/80
Duration: 40/44/48/52
Damage is directly added to the unit's main damage. - Attack Damage Bonus: 30/45/60
Damage is directly added to the unit's main damage.
Conditional bonus[edit]
These abilities give direct attack damage bonuses under certain circumstances. Due to this, they do not display their bonus damage in the HUD. Their damage type can also vary and is not necessarily physical; nonetheless, they still count as attack damage since their damage is dealt in one instance together with a unit's attack damage. This means they are affected by armor type (even when dealing magical damage), but not by spell damage amplification.
- Proc Chance (Melee): 25%
Proc Chance (Ranged): 10%
Damage: 100
Damage applies to the proccing attack. Magical damage. - Mana Burned per Hit: 28/40/52/64
Burned Mana as Damage: 50%
Damage applies upon attacking units which have mana. - Melee Attack Damage Bonus: 24
Ranged Attack Damage Bonus: 7
Damage only applies against non-hero units. - Mana Burned per Hit: 50
Mana Burned per Hit (Melee Illusion): 16
Mana Burned per Hit (Ranged Illusion): 8
Burned Mana as Damage: 80%
Damage applies upon attacking units which have mana. - Building Attack Damage Bonus: 90/180/270
Damage applies when attacking buildings. - Attack Damage Bonus: 25/50/75/100
Cooldown: 13/10/7/4
Damage applies whenever it is off cooldown and on autocast, or upon manually using. - Attack Damage Amplification: 50%
Damage applies upon attacking units which are petrified. - Mana Burned per Hit: 25
Mana Burned per Hit (Illusion): 10
Burned Mana as Damage: 80%
Damage applies upon attacking units which have mana. - Mana Burned per Hit: 30/40/50
Burned Mana as Damage: 50%
Damage applies upon attacking units which have mana. - Melee Attack Damage Bonus: 24
Ranged Attack Damage Bonus: 7
Damage only applies against non-hero units. - Damage: 175
Damage applies to the first attack out of the invisibility. - Damage: 175
Damage applies to the first attack out of the invisibility. - Proc Chance (Melee): 25%
Proc Chance (Ranged): 10%
Damage: 100
Damage applies to the proccing attack. Magical damage. - Required Hits: 4
Damage: 60/80/100/120
Damage applies to the proccing attack. - Proc Chance: 40%
Damage: 20/50/80/110
Damage applies to the proccing attack. - Building Attack Damage Bonus: 40%
Damage applies when attacking buildings. - Damage: 100/160/220
Damage applies to the first attack out of the invisibility. - Building Attack Damage Bonus: 80%/120%/160%/200%
Damage applies when attacking buildings. - Mana Burned per Hit: 20
Mana Burned per Hit (Illusion): 10
Burned Mana as Damage: 80%
Damage applies upon attacking units which have mana.
Attack damage reducing abilities[edit]
Percentage reduction[edit]
Main attack damage reduction is always applied before damage block. Total attack damage reduction is inconsistent and noted separately.
- The damage reduction is applied before the damage block. The value is based on the ability the illusion is created by, it may deal less attack damage than the hero it is based on.
- Attack Damage Reduction: 75%/60%/45%/30%
The reduction is applied as the projectile hits the target and immediately removed afterwards, so that only the dagger is affected by it. - Main Attack Damage Reduction: 50%
- Main Attack Damage Reduction: 45%/50%/55%/60%
- Main Attack Damage Reduction: 7%/18%/29%/40%
Flat reduction[edit]
Flat damage reduction is applied before crits as negative bonus damage.
Conditional reduction[edit]
These abilities reduce attack damage under certain circumstances. Due to this, they do not display their reductions in the HUD.
- Splinter Attack Damage Reduction: 50%
Reduces Drow Ranger's attack damage when the secondary projectiles hit. - Attack Damage Reduction: 100%
When attacking non-building units during Blade Fury, the attack damage gets reduced to 0. - Attack Damage Reduction: 70%/55%/40%/25%
Reduces Medusa's attack damage when the secondary projectiles hit.
See also[edit]
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