The 1975 Icelandic Cup was the 16th edition of the National Football Cup.
It took place between 24 June 1975 and 13 September 1975, with the final played at Laugardalsvöllur in Reykjavik. The cup was important, as winners qualified for the UEFA Cup Winners' Cup (if a club won both the league and the cup, the defeated finalists would take their place in the Cup Winners' Cup).
Clubs from the 1. Deild entered in the last 16, with clubs from lower tiers entering in the three preliminary rounds. Teams played one-legged matches. In case of a draw, the match was replayed at the opposition's ground.
ÍBK Keflavík won their first Icelandic Cup, beating ÍA Akranes in the final, who were runners-up for the second consecutive year. The club therefore qualified for Europe.
First round
Second round
Third round
Entry of eight teams from the 2. Deild
Fourth round
Entry of eight teams from the 1. Deild
Quarter finals
Semi finals
Final
ÍBK Keflavík won their second Icelandic Cup and qualified for the 1976–77 European Cup Winners' Cup.