The was Molde's fifth consecutive year in the top flight, and their 7th season in total in the top flight of Norwegian football. This season Molde competed in 1. divisjon (first tier), the Norwegian Cup and the 1978–79 UEFA Cup. In the league, Molde finished in 10th position, 21 points behind winners Start and were relegated to the 2. divisjon. Molde entered the first round of the 1978–79 UEFA Cup. On 27 September, they were eliminated by Torpedo Moscow with a 3–7 loss on aggregate.