The incident took place when Maneesh Yadav and Manoj Yadav were escaping after threatening a village head, they said.
Police said that a team was rushed to the spot after the victim informed that he had been threatened by two people.
In the encounter, Station House Officer, Khorabar, Sudhir Kumar, and Sub-Inspector, Jhangha, Sunil Kumar Singh, suffered minor injuries, they said.
The police have seized a 32 bore pistol, a 12 bore gun, bullets and the motorcycle on which they were escaping.
The zonal IG had announced a reward of Rs 50,000 on each of them.