[1][2] Haque was born on 8 February 1909 in Dhaka, East Bengal, British Raj.
In 1932, he graduated from Dhaka University and joined the Indian Police Service.
[3] Anwarul Haque served in both East and West Bengal as superintendent of Police.
In 1975, following the Assassination of Sheikh Mujibur Rahman in the 15 August 1975 Bangladesh coup d'état, he joined the Council of Advisors and Ministers.
After retirement he wrote his memoir, Under Three Flags: Reminiscence of a Public Servant, about serving under the British, Pakistani, and Bangladeshi governments.