The 1875 FA Cup final was a football match between Royal Engineers and Old Etonians on 13 March 1875 at Kennington Oval in London. It was the fourth final of the world's oldest football competition, the Football Association Challenge Cup. Heading into the final, the Royal Engineers were playing in their third final after losing the 1872 and 1874 finals while the Old Etonians were playing in their first FA Cup final.

The Royal Engineers Association Football Club is an association football team representing the Corps of Royal Engineers, the 'Sappers', of the British Army and based in Chatham, Kent. In the 1870s, it was one of the strongest sides in English football, winning the FA Cup in 1875 and being Cup finalists in three of the first four seasons. The Engineers were pioneers of the combination game, where teammates passed the ball to each other rather than kicking ahead and charging after the ball. With the rise of professional teams, in 1888 the Engineers joined a newly formed Army Football Association.