[1] As defending champions of the First Division title, they finished fourth and secured qualification for the Inter-Cities Fairs Cup.
[2] They lost to eventual winners Everton in the FA Cup semifinal.
In the European Cup, they were also semi-finalists, edged out by Yugoslav champions Partizan Belgrade.
They had to negotiate a preliminary round of the competition before qualifying for the first round, and did so by achieving a 9–2 aggregate win over Finnish champions HJK Helsinki.
United's top scorer for this season was David Herd, with 24 league goals and 33 in all competitions.