Aberdeen entered the competition in the first round. They began their campaign against Second Division side East Fife at Pittodrie Stadium. The match ended in a 2−1 win for Aberdeen. In the second round Aberdeen faced another Second Division club, Arbroath, also at home with Aberdeen winning 3−0. In the quarter-final the club was drawn against St Johnstone of Perth who also competed in the Second Division. Aberdeen won 2−1 away at Muirton Park to progress to the quarter-final stage. The opposition was Kilmarnock who were beaten 3−1. In the semi-finals Aberdeen faced Third Lanark at the neutral venue of Ibrox Park in Glasgow which resulted in a 1−1 draw. It took a 1−0 win in a replay for Aberdeen to progress to the final for the fifth time in the club's history.
St Mirren entered the competition in the second round. They began their campaign against non-league club Peebles Rovers which resulted in a 10−0 thrashing by the Paisley club. St Mirren then faced Motherwell of the First Division with St Mirren winning 3−2. The club then faced fellow First Division club Dunfermline Athletic at home in the quarter-final, producing a 2−1 win to progress to the semi-final stage. Celtic were the opposition faced in the semi-final with St Mirren winning 4−0 at Hampden Park to reach the Scottish Cup Final for a fourth time.