The operation continued for the second day and another militant was killed during the night, the officials said.
One AK 47 rifle, three magazines were recovered from the scene of the encounter.
A soldier was also killed in the operation that is still continuing, officials said.
The number of militants killed in different counter-infiltration operations along the LoC in Kupwara district has risen to 12 in the past six days.
Five militants were killed when army foiled an infiltration bid in Hafruda forest area of Handwara Thursday, while four infiltrating militants were killed in Macchil Sector on Tuesday. One ultra was shot dead in Keran sector of the Kupwara district on Monday.
Five militants were killed in a failed infiltration bid in Keran Sector on July 9.