The Daily Telegraph quoted state police chief Patrick Egbuniwe as saying.
He added that two civilians were also killed in the clashes.
In another incident in the eastern state of Taraba, gunmen attacked a police station, killing three policemen and two civilians.
Ibrahim Idris, the police chief of the northern city of Kano said on Wednesday that 17 militants and a policeman were killed in a gun battle in the city late on Tuesday.
Following a recent spate of deadly attacks by Boko Haram, in which nearly 150 people died, Nigerian President Goodluck Jonathan fired his national security adviser and defense minister on June 22.
On June 5, Nigerian troops shot and killed 16 members of the militant group in the northeastern city of Maiduguri, Boko Haram’s stronghold.
On May 11, Nigerian security forces arrested Suleiman Mohammed, Boko Haram's head of operations in Kano, along with his wife and five children, during a raid on his house in the northern city.
The extremist group has claimed responsibility for a number of deadly gun and bomb attacks in various parts of Nigeria since 2009.
Human rights groups report that violent actions by Boko Haram since mid-2009 have claimed more than 1,000 lives, including over 300 this year alone.
Multiple clashes between Nigerian security forces and Boko Haram militants have left 27 people, including 19 militants, dead across Nigeria.
Late on Wednesday, two suspected Boko Haram members were killed by security forces in the northeastern city of Damaturu in Yobe state,