He was educated at Westminster School before going on to study electrical engineering at Finsbury City and Guilds Technical College in 1896.
He published an article in The Burlington Magazine in 1913, and soon after gave a paper to the Royal Asiatic Society, which was well received.
His interest in Islamic architecture spurred him to look for more satisfying employment, and in May 1914 he applied, unsuccessfully, to join the Archaeological Survey of India.
The First World War broke out in August of that year, and in April 1916 he was selected on probation for appointment as Assistant Equipment Officer in the Royal Flying Corps.
He rose through the ranks, and by July 1919 had been appointed (as an Army Captain) as Inspector of Monuments under General Allenby's Occupied Enemy Territory Administration in Palestine and Syria.
As well as detailed descriptions of individual monuments, bolstered with plans, drawings and photographs, there were also to be chapters on the development of certain features, such as minarets, domes and madrasas.
He submitted the proposal to King Fuad I of Egypt, who recognised the importance of such a work and was an enthusiastic patron.
Creswell first started work on the Bibliography of the Architecture, Arts and Crafts of Islam in 1912; it was finally published in 1961.
In 1959 he was awarded the Triennial Gold Medal by the Royal Asiatic Society of Great Britain and Ireland.
Creswell bequeathed his library of 3,000-plus volumes to the American University in Cairo, along with his collection of some 11,000 photographic prints.