The son of Karim Bukhs Molla, a peasant who cultivated paddy and vegetables, he was attracted to the Communist movement while a college student and started his political career on the peasant front.[3][4]
Abdur Razzak Molla was elected from the Canning Purba seat from 1977 to 2011.[5] He was one of the few ministers to retain his seat in the 2011 elections.[6]
In February 2014, the CPI(M) West Bengal State Committee issued a note expelling Razzak Molla from the party for his anti-party activities. He formed a new political party- Bharatiya Naybichar Party (BNP) on Oct 18, 2014. However, Mollah was expelled from the BNP for establishing relationship with Mamata Banerjee and TMC in Jan 2016 and he joined hands with Trinamool Congress officially in Feb 2016.[7]