The 1935-36 Maltese FA Trophy was the 2nd edition of the football cup competition, the FA Trophy. Sliema Wanderers were the defending champions, and they retained the trophy. The cup's format was changed from the first edition, with the biggest teams Sliema Wanderers, Floriana, and Hibernians all receiving byes to the semi-finals. The remaining five teams were put into a mini-tournament to decide the fourth semi-finalist. First round Two First round matches were played on 4 April 1936. Second round One Second round matches were played on 11 April 1936, and a replay match was played on 22 April 1936. Tigers F.C. awarded a 'bye' for the Second round Third round One third-round match was played on 25 April 1936, and a replay match was played on 2 May 1936. Semi-finals Semi-final matches were played on 12 April and 9 May 1935. Final The final was played on 17 May 1936.