Murray began his career at Queen's Park, before moving to Ibrox in 1955.
[2] His scoring debut came on 13 August 1955 in a Scottish League Cup match against Falkirk which the club won 5–0.
He had a very successful spell at Rangers, winning two Scottish league championships and finishing top scorer three times in a row.
He amassed 121 goals in just 154 games and on 24 October 1956 he scored Rangers' first ever goal in European competition, an equaliser in a European Cup first round match against OGC Nice at Ibrox, a match Rangers won 2–1.
[3] He left Rangers in 1962 for West Bromwich Albion, but he only lasted a season in English football before he moved back to Scotland.