The Ministry of Defense (MoD) said the militants were killed in three separate incidents in Ab Band and Khogyani districts of Gahzni and Shindand district of Herat.
MoD did not mention in which location exactly the Taliban commander was killed but the statement by MoD said another militant was also seriously wounded in the incident.
This comes as an Improvised Explosive Device (IED) expert of the Taliban group was killed in an explosion in northern Kunduz province of Afghanistan.
The Ministry of Defense (MoD) said the IED expert and three militants were busy in making an Improvised Explosive Device (IED) when the explosion took place.
Earlier, a group of 10 militants were blown up by their own explosives as they were busy making an Improvised Explosive Device (IED) in southeastern Ghazni province.
According to the security officials, the militants were busy making the IED inside a mosque in Andar district when their explosives went off prematurely, leaving all 10 militants dead.
The anti-government armed militant groups including the Taliban insurgents have not commented regarding the report so far.
The Taliban insurgents and militants belonging to the other insurgent groups are frequently using Improvised Explosive Device (IED) as the weapon of their choice to target the security forces.