The incident took place around 8.30 am in the Lalaghati-Naudiha area of the district when a joint team of the 134th battalion of the Central Reserve Police Force (CRPF) and state police was out on an anti-Maoist operation, the officials added.
The bodies of the four Naxals were recovered, they said.
Those killed were identified as Rakesh Bhuiyan, sub-zonal commander of a local Naxal group, and cadre members Lallu Yadav, Rinki and Ruby. Bhuiyan was carrying a reward of Rs 5 lakh, they said.