Afghanistan's Provincial Police Chief Sayed Gul Aqa Rohani said at least six more militants have been injured in the assault on a checkpoint in Nangarhar province Sunday.
No officers were wounded in the attack, Sputnik reported.
Afghanistan is suffering from the activity of the Taliban, a militant group formed in the 1990s.
The Taliban has boosted its operations in Afghanistan after NATO ended its International Security Assistance Force (ISAF) mission in December 2014.