The club played in the Scottish League Division A and won the championship (25th title) with 46 points.

Willie Thornton finished top scorer with 19 goals.

Rangers were successful in the newly inaugurated League Cup.They won all six matches in their Section before overcoming Dundee United from Division B in a 2 leg Quarter-Final.

Rangers defeated Aberdeen 4–0 in the Final at Hampden Park with Jimmy Duncanson netting a brace.

[1] Jock Shaw, Willie Waddell and Willie Thornton represented Scotland against England in a match in aid of the Burnden Park Disaster victims.