Fazlur Rahman Babu (born August 22) started his acting career in 1978 when he joined the theatre group Baishakhi Natya Ghosthi in Faridpur. That same year, Babu acted for first time in a national drama festival. Meanwhile, he joined the Agrani Bank and, in 1983, transferred his banking job to Dhaka, the capital of Bangladesh, where he also joined Mamunur Rashid's Aranyak Natyadal theatre group. Some of his performances in this theatre group include Nankar Pala, Pathar and Moyur Shinghashan.

He started his television acting career in Kazi Nazrul Islam’s soap opera Mrittu Khuda (1991), produced by Abu Zafar Siddiqui, on Bangladesh Television (BTV). However, it was his role of Poran Majhi in Rashid's television drama Itikatha (1991) that secured him further roles in dramas such as Shundari and Danab. Babu also acted with Bengali film Daruchini Dip directed by Toukir Ahmed while Humayun Ahmed was Story, Dialogue and Scriptwriter. Babu has become popular for his humorous characters but his early career in stage dramas like Danab and Jay Jayanti was in serious roles.

Babu continued to work for television and theatre simultaneously until 2000 when he stopped theatre work as television took nearly twenty-five days per month. Babu made his theatrical film début with Abdullah Al Mamun’s Bihanga between 2000 and 2001.

Babu emerged as a singer when he performed two songs in the film Monpura.Babu published his first solo music album Indubala (2009). He also sang four songs on the mixed album Monchor (2008).