Biswas was born on 12 September 1972 in Sutia, North 24 Parganas district, West Bengal. His parents, Gita Biswas and Jagadish Biswas, migrated from Faridpur, Bangladesh after the 1971 Bangladesh Liberation War to Acharipara, Panchpota, in North 24 Parganas. His father worked as a labourer during the day and sang for a local theatre group at night to pay for his children's education.