[3][4] Mujibul Haque was born on 1 September 1953 to Abdul Malek and Harunnessa in Kajala Madhyapara, Tarail Upazila, Kishoreganj District, East Bengal, Pakistan.

He was a member of the Mukti Bahini and fought in the Bangladesh Liberation war in Sector-11.

[5] Mujibul Haque was elected president of the Kishoreganj District unit of the Jatiya Party.

From 21 November 2013 to 12 January 2014, he was the state minister of youth and sports.

[5] Upon the death of Ziauddin Ahmed Bablu, Mujibul Haque was appointed as the secretary general of the Jatiya Party in October 2021.