Mr Deb was the BJP Tripura unit president from 2001 to 2006.
"Since the party has decided not to nominate me from 55 Bagbasa assembly constituency in the forthcoming assembly elections... I have decided to resign from the party with immediate effect," he said in a letter to the state BJP president Biplab Kumar Deb.
The BJP is contesting 51 seats in the 60-member Tripura Assembly. It has left nine seats for its alliance partner the Indigenous People s Front of Tripura (IPFT).