Abbas was born on 7 February 1951 in Kishoreganj, East Bengal to businessman Abdur Razzak and Kamla Khatun.

Abbas is among those leaders who started their political career with the emergence of Bangladesh Nationalist Party and worked with President Ziaur Rahman.

Mirza Abbas, as a minister, time and again focused on the strict enforcement of Wetland Protection Act to ensure environmental balance and flooding.

The Ministry of Housing and Public Works under his able leadership amended the Building Construction Rules that was finally enacted in December 2006.

[9] On 15 July 2007, ACC filed a case against Abbas, former BNP MP Ali Asgar Lobi and Mahfuzul Islam, a government official.

[9] On 6 March 2014, ACC filed a graft cast against Abbas over corruption in plot allocation among journalists when he was the housing and public works minister.