George Lytton Crossman, DSO (18 February 1877 – 17 January 1947) was a British Army officer and cricketer.
Crossman was a right-handed batsman and leg-break bowler who played for Gloucestershire.
Crossman made two first-class appearances for the side during the 1896 County Championship.
During the war he was part of the force sent to relieve Ladysmith, taking part in the battles of Colenso (December 1899), Spion Kop (January 1900), Vaal Kranz and the Tugela Heights (February 1900) leading up to the actual relief of the city on 1 March 1900.
He stayed in Natal March to June 1900 until the British had re-taken the whole colony, then moved into Transvaal and took part in operations around Pretoria.