Arthur George Cocksedge (4 September 1892 – 30 September 1973) was a British gymnast who competed in the 1920 Summer Olympics and a member of the 1924 Summer Olympics team, though he did not compete. As a member of the British team in 1920 he finished fifth in the team, European system competition. He was a member of the Northampton Polytechnic Institute Gymanist Club and was the Champion of United Kingdom in 1920.