Gangeswar Singh IG, Western Range said that the two were shot dead in the encounter which took place after the killing of two Trinamool Congress (TC) workers by the ultras on Monday.
Two joint force personnel were injured in the encounter and were being airlifted to Kolkata for treatment, he said.
Extra forces have been rushed to Ghatbera, where a police camp has already existed, Singh said, adding no one has been arrested thus far.
In the meantime, post mortem of the bodies of Ajit Singh Sardar and Baku Singh Sardar, the father-son duos, who were called out of their homes and killed by the extremists on Monday has been completed, and they were being taken to Kolkata, where Chief Minister Mamata Banerjee will pay her respects to them.
Banerjee has said that joint operations would be strengthening against Maoists, whom she has described as terrorists, murderers, jungle mafia and supari killers.