The 1978 Icelandic Cup was the 19th edition of the National Football Cup.
It took place between 30 May 1978 and 27 August 1978, with the final played at Laugardalsvöllur in ReykjavÃÂk. 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.
ÃÂA won their first Icelandic Cup, beating Valur in the final. The club therefore qualified for Europe.
|colspan="3" style="background-color:#97DEFF"|30 May 1978
|- |colspan="3" style="background-color:#97DEFF"|31 May 1978
|colspan="3" style="background-color:#97DEFF"|13 June 1978
|- |colspan="3" style="background-color:#97DEFF"|14 June 1978
|colspan="3" style="background-color:#97DEFF"|20 June 1978
|colspan="3" style="background-color:#97DEFF"|4 July 1978
|- |colspan="3" style="background-color:#97DEFF"|6 July 1978
|- |colspan="3" style="background-color:#97DEFF"|12 July 1978
<small><sup>1</sup> The match was replayed after a 0âÂÂ0 draw.</small>
|colspan="3" style="background-color:#97DEFF"|19 July 1978
|-
|colspan="3" style="background-color:#97DEFF"|8 August 1978
|- |colspan="3" style="background-color:#97DEFF"|9 August 1978