[1][2] He was the son of the late Inspector-General W. H. Sloggett, R.N., and of his wife, Elizabeth, daughter of Thomas Cornish-Crossing J.P., of Stoke Damerel, Devon.

During the Mahdist War, he served as Senior Medical Officer of the 1st Brigade, British Division, and took part in the battle of Omdurman.

For his services in the Nile Expedition he was mentioned in despatched in September 1898, and was specially promoted to the higher rate of pay of Lieutenant-Colonel on 16 October 1898.

He was promoted to Surgeon-General on 13 May 1908, and then between 24 July 1908 and 30 December 1911 was Principal Medical Officer, 6th (Poona) Division in Bombay, India.

Sir Arthur Thomas Sloggett died suddenly while walking with his son near Regent's Park.