[1] Ibrahim was born in September 1894 in Shaildubi village of Sadarpur Upazila in Faridpur District to Ghiyasuddin Ahmed.

He then studied Law under the persuasion of Nares Chandra Sen-Gupta.

[2] Ibrahim practiced law at Faridpur during 1922–1923, and joined the Dhaka District Bar in 1924.

[2] He was appointed the Minister of Law by Pakistani President Ayub Khan and served the position during 1958–1962.

Together they had a daughter Sufia Ahmed, a National Professor of Bangladesh.