Iceland competed at the 1968 Winter Olympics in Grenoble, France.
Alpine skiing
Men
AthleteEventRace 1Race 2TotalTimeRankTimeRankTimeRankKristinn BenediktssonGiant Slalom2:05.84762:03.03694:08.8769Björn Olsen2:05.79752:10.81764:16.6072Reynir Brynjólfsson2:04.73722:00.58654:05.3167Ivar Sigmundsson2:03.42712:02.44684:05.8668
Men's slalom
AthleteHeat 1Heat 2FinalTimeRankTimeRankTime 1RankTime 2RankTotalRankBjörn OlsenDSQ–58.463did not advanceReynir Brynjólfsson59.8551:04.703did not advanceIvar Sigmundsson59.4651:02.203did not advanceKristinn Benediktsson1:07.6661:02.053did not advance
References
Official Olympic Reports Olympic Winter Games 1968, full results by sports-reference.com