The 1874–75 FA Cup was the fourth season of England's oldest football tournament, the Football Association Challenge Cup or "FA Cup". 29 teams entered, one more than the previous season, although four of the 29 never played a match. The final was contested by Royal Engineers – playing in their third final in the four seasons of the FA Cup – and Old Etonians – playing in their first final. On their way to the final, Royal Engineers knocked out Cambridge University in the Second Round and holders Oxford University in the Semi-finals, while Old Etonians only managed to score more than one goal in one match: their second replay against Swifts, which they won 3–0. The biggest win of the competition was recorded by two-time FA Cup winners Wanderers, who beat Farningham 16–0 in the First Round.
In the final, played on 13 March 1875, Old Etonians forced a replay against Royal Engineers, with the two sides playing out a 1–1 draw. The replay was played three days later, when goals from Henry Renny-Tailyour and William Stafford secured a 2–0 win for Royal Engineers.
All 29 teams entered the competition at the First Round stage. However, due to the odd number of entrants, Reigate Priory were given a bye to the Second Round. Three teams – Civil Service, Windsor Home Park and Shropshire Wanderers – were also awarded walkovers. Three of the ties finished as draws and went to replays; of these, one had to be decided by a second replay. The biggest win in the competition came at this stage with Wanderers' 16–0 win over Farningham.
The 15 teams that progressed from the First Round took part in the Second Round. Due to the odd number of teams, Old Etonians were given a bye to the Third Round. Oxford University were awarded a walkover in their tie against Windsor Home Park. In all but one of the fixtures, the losing teams failed to score. Two matches saw the biggest win of the round: both Royal Engineers and Wanderers beat their respective opponents 5–0. None of the ties required replays.
The eight teams that progressed from the Second Round took part in the Third Round. There was no need for any team to be given a bye to the next round, and there were no walkovers. Only one tie required a replay, in which Shropshire Wanderers recorded the biggest win of the round: a 2–0 win over Woodford Wells.
The replay was played three days later, also at Kennington Oval and refereed by C. W. Alcock. Goals from Henry Renny-Tailyour and William Stafford gave Royal Engineers a 2–0 win and their first FA Cup title in three attempts.