The 1963 Icelandic Cup was the fourth edition of the National Football Cup.
It took place between 10 August 1963 and 6 October 1963, with the final played at Melavöllur in Reykjavík. Teams from the Úrvalsdeild karla (1st division) did not enter until the quarter finals. In prior rounds, teams from the 2. Deild (2nd division), as well as reserve teams, played in one-legged matches. In case of a draw, the match was replayed.
For the fourth consecutive year, KR Reykjavík reached the final, beating IA Akranes 4 - 1.