Quader was born on 24 February 1948 to a Bengali Muslim family of Rangpur City with roots in Dinhata.

[3] Mokbul was a lawyer and served as a minister of the erstwhile Maharaja of Cooch Behar.

[3] Quader had eight siblings including the former President of Bangladesh Hussain Muhammad Ershad,[4] banker Mozammel Hossain Lalu and Merina Rahman.

[11] From 2016, he joined his elder brother, Hussain Muhammad Ershad, who was the founder and chairman of the Jatiya Party.

[14][15] In light of the 12th National Elections, his political decisions are being subject to staunch criticisms by Saquib Rahman, Editor of Progress Magazine and Senior Lecturer of Law at North South University.