The Scottish FA Cup was played for the 76th time in 1960/61 . The most important football cup competition in Scottish club football was directed and hosted by the Scottish Football Association. He started on January 28, 1961, ended with the repetition finals on 26 April 1961 at Hampden Park of Glasgow . As the defending champion, the Glasgow Rangers started the competition, who were able to prevail in the final of the previous year against FC Kilmarnock . In this year's Scottish Cup final, the Celtic Glasgow and Dunfermline Athletic faced each other. For Celtic it was the 27th final since 1889 . Dunfermline reached the final for the first time in the club's history. After a goalless first game, Dunfermline won the replay final 2-0. It was the first cup win for the club in the Scottish FA Cup . Celtic lost the third final in a row after 1955 and 1956 . In the season 1960/61 was Celtic only in fourth, Dunfermline twelfth. Scottish champions and league cup winners were the Rangers . The following season Dunfermline Athletic took part in the European Cup Winners' Cup, and was eliminated there in the quarterfinals against the Hungarian representative Újpesti Dózsa SC .