The 1980 Icelandic Cup was the 21st edition of the National Football Cup.
It took place between 28 May 1980 and 31 August 1980, with the final played at Laugardalsvöllur in Reykjavík. 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).
The 10 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.
Fram Reykjavík retained their title, winning their fourth Icelandic Cup by beating ÍBV Vestmannaeyjar in the final. The club therefore qualified for Europe.