Iceland at the 1964 Winter Olympics

Alpine Skiing

Giant Slalom, Men Árni Sigurðsson 56
Kristinn Benediktsson 61
Jóhann Vilbergsson DNF
Slalom, Men Árni Sigurðsson 39
Kristinn Benediktsson 27 r1/2
Jóhann Vilbergsson 34 r1/2

Cross Country Skiing

15 kilometres, Men Þórhallur Sveinsson 55
Birgir Guðlaugsson 67
30 kilometres, Men Þórhallur Sveinsson 61
Birgir Guðlaugsson 64