Andrew Letham Graham (October 10, 1894 – January 18, 1944) was a Canadian professional ice hockey left winger who played 6 seasons in the National Hockey League for the Ottawa Senators and Hamilton Tigers. He was born in Ottawa, Ontario. He won the Stanley Cup with Ottawa in 1921.
He played amateur hockey for the Ottawa Stewartons and the Ottawa New Edinburgh. Graham turned pro with the Ottawa Senators in the National Hockey Association in 1913. He played there for two seasons before joining the Canadian military during World War I.
Graham returned to the Senators in 1920-21 for a full season. After that he was strictly a part-time player through the 1925-26 season. He played for the Hamilton Tigers in 1922-23.
He retired in 1926.