The clash started after an altercation between the two groups late last night, when the CPI(M) workers were returning after campaigning for panchayat poll.
Amar Ghosh and Debsharan Ghosh were killed and two others were injured in the clash and all the four were stated to be CPI(M) workers, the sources said.
One person, who broke his leg after a fall while fleeing, was arrested.
The CPI(M) called for a 12-hour Rejinagar bandh tomorrow.