The 1978–79 UEFA Cup was the eighth season of the UEFA Cup, the third-tier club football competition organised by UEFA. The final was played over two legs at the Red Star Stadium, Belgrade, Yugoslavia, and at the Rheinstadion, Düsseldorf, West Germany. It was won by Borussia Mönchengladbach of West Germany, who defeated Red Star Belgrade of Yugoslavia by an aggregate result of 2–1 to claim their second UEFA Cup title.