The Ministry of Defense (MoD) said Mullah Din Mohammad was killed in an airstrike conducted in Posht Rod district of Farah province.
The source further added that a total of four militants including Mullah Din Mohammad and his three comrades were killed in the airstrikes.
Farah is among the relatively volatile provinces in West of Afghanistan where the anti-government armed militant groups are active in some of its remote districts.
Hundreds of Taliban insurgents launched a coordinated attack on Farah city the provincial capital of Farah in the early hours of Tuesday morning.
The Afghan national defense and security forces responded to the attack by launching air and ground operations that lasted until early hours of Wednesday morning.
The Afghan officials said Wednesday that the city has been cleared of the Taliban militants although they did not rule out the presence of the Taliban militants in some parts of the city as well its outskirts.
The local residents in Farah said late on Wednesday night that fresh clashes resumed after some Taliban insurgents launched coordinated attacks on Farah prison and other government compounds.