They won their third Scottish League championship, won the Scottish Cup for the third successive year and won the 1983 European Super Cup.
Aberdeen won the Scottish Cup for the third successive season after beating Celtic in the final at Hampden Park in May 1984.
After winning the trophy the previous season, Aberdeen qualified for the 1983–84 European Cup Winners' Cup as holders.
After winning the UEFA Cup Winners' Cup in the previous season, Aberdeen qualified to play the European Champions' Cup winners from 1983, Hamburger SV, in the Super Cup.
Aberdeen won the game 2–0 on aggregate.