James "Jimmy" Murray (4 February 1933 – 10 July 2015) was a Scottish football player. Murray played as an inside right for Heart of Midlothian and Scotland in the 1950s and early 1960s.

He made his first Scotland appearance in a 4–0 defeat to England at Hampden on 19 April 1958. He scored Scotland's first-ever goal in a World Cup finals match, in a 1–1 draw against Yugoslavia in 1958. He is also to this day the only Heart of Midlothian player to score a goal in the World Cup finals.

Murray won a total of five caps for Scotland. He also played for Reading, Falkirk, Clyde and Raith Rovers.