The Scottish FA Cup was played for the 58th time in 1935/36 . The most important football cup competition in Scottish club football was directed and hosted by the Scottish Football Association. He started on 25 January 1936 and ended with the final on 18 April 1936 at the Hampden Park of Glasgow . The defending champions were the Glasgow Rangers , who won against Hamilton Academical in the final last year . In this year's Scottish Cup final, the Rangers and Third Lanark faced each other. The Rangers reached the final for the 18th time since 1877 . Of the previous seventeen finals, nine have been won. Third Lanark reached the finals for the sixth time since 1876 . In the years 1889 and 1905 the title could be won. The Rangers won the final 1-0 with a goal from Bob McPhail , securing the Scottish Cup victory for the 10th time in the club's history. In the Scottish Championship , the Rangers were runner-up behind Celtic Glasgow . Third Lanark was ninth.