The Ministry of Defense (MoD) said Saturday that the militants were killed in the past 24 hours in various provinces.
A statement by MoD said at least 15 Taliban insurgents were also wounded during the operations.
The statement further added at least 6 militants were killed and two others were wounded in Tarinkot city of Uruzgan.
At least 4 of the militants were killed in Khashrod district of Nimruz and 2 others were wounded, MoD said, adding that 5 militants were killed and 9 others were wounded in Andar district of Ghazni.
According to MoD, the two top leaders were killed in Nahr-e-Saraj district of Helmand but no further details were given regarding their identities.
The Ministry also added that two militants were killed in Tagab district of Kapisa province.
The anti-government armed militant groups including the Taliban insurgents have not commented regarding the report so far.