They finished first in the Premier Division, the club's first Premier Division title and second Scottish league championship.
In Europe, they were drawn against Eintracht Frankfurt, losing 1–2 on aggregate over two legs in the first round.
In July 1979, Aberdeen embarked on a tour of Denmark, playing three games.
This was followed by friendly matches against three Scottish clubs, and home games against English clubs Coventry City and Tottenham Hotspur.
During the season, friendly matches were played against Leicester City, Rothes and an Arbroath Select.