The Ministry of Defense of Afghanistan (MoD) said at least ten of the militants were killed in Bala Bolok district of Farah while 14 more were wounded.
According to MoD, at least four others were killed in an airstrike in Nahr-e-Saraj district of Helmand province.
A vehicle and a motorcycle belonging to the insurgents were also destroyed in the same airstrike, MoD added.
The anti-government armed militant groups including the Taliban insurgents have not commented regarding the report so far.
Both Farah and Helmand provinces are among the relatively volatile provinces in South and West of Afghanistan.
The anti-government armed militant groups often carry out insurgency activities in some districts of the two provinces.
The latest deadly attack by the Taliban group in Farah province was carried last week after a group of insurgents launched a coordinated attack on a army base that resulted into the martyrdom of 18 soldiers.