Andrew Letham Graham (October 10, 1894 – January 18, 1944) was a Canadian ice hockey player. Graham played left wing for six 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 and retired in 1925. He also appeared in the 1915 Stanley Cup Finals with the Ottawa Hockey Club against the Vancouver Millionaires, a losing effort.