[2][3] Mustafa was born on 30 November 1941 in Kidderpore neighborhood in Calcutta in the then Bengal Presidency, British India.

[4] After the 1947 partition of India, his family moved to his paternal grandfather's house in Mirsharai, Chittagong in East Bengal.

[4] He then studied in Bar Academy School in Narayanganj and in Jagannath College in Dhaka.

[4] Afterward, he got acquainted with the notable photographer Manzoor Alam Beg.

[1] Mustafa was the Head of the Standing Council of Bangladesh Photographic Society (BPS).