Soumitra Chatterjee is the most awarded actor of all time with 8 wins, followed by Uttam Kumar (7) and Prosenjit Chatterjee (6), Sabyasachi Chakraborty (2) and Utpal Dutt (2). Here is a list of the award winners and the films for which they won.
References
Bengal Film Journalists' Association – Best Actor Award Wikipedia(Text) CC BY-SA