The airstrike was conducted at 05:30 a.m. in Shekhan region of Urgun district, the statement said.
The commanders who were identified as Abdul Aziz and Ghalchakai killed along with their four other fellows, the statement noted.
These two senior commanders of Haqqani terrorist network were engaged in insurgent attacks in Patika province, the statement added.
Separately, two commanders of the Taliban were killed on Saturday night in Zerok district of Patika, following the clashes with Afghan security forces.
The clashes also left 22 insurgents dead and 14 more wounded.