According to local security officials, the airstrike was carried out in Alisheng district.
Provincial governor spokesman Sarhadi Zwak confirmed that the militants were targeted in Qala-e-Sharafuddin area.
Zwak further added the drone fired two missiles on a compound where the militants were based and were plotting to carry out insurgency attacks.
He said the civilians did not suffer any casualties following the air raid.
The Taliban militants group has not commented regarding the report so far.
Laghman is among the relatively volatile provinces in eastern Afghanistan where anti-government armed militant groups are active in a number of its remote districts.