Iceland competed at the 1968 Summer Olympics in Mexico City, Mexico.
Men's high jump
Jan ÓlafssonQualification — 2.06 m (→ did not advance)Men's shot put
Guðmundur HermannssonQualification — 17.35 m (→ did not advance)Men's 100 metres freestyle
Guðmundur GíslasonHeats — 58.6 seconds (→ 7th in heat, did not advance)Women's 100 metres freestyle
Hrafnhildur GuðmundsdóttirHeats — 1:06.3 min (→ 7th in heat, did not advance)Women's 200 metres freestyle
Hrafnhildur GuðmundsdóttirHeats — 2:28.5 min (→ 7th in heat, did not advance)Men's 100 metres breaststroke
Leiknir JónssonHeats — 1:16.3 min (→ 5th in heat, did not advance)Women's 100 metres breaststroke
Ellen IngvadóttirHeats — 1:22.6 min (→ 6th in heat, did not advance)Men's 200 metres breaststroke
Leiknir JónssonHeats — 2:48.8 min (→ 6th in heat, did not advance)Women's 200 metres breaststroke
Ellen IngvadóttirHeats — 2:58.2 min (→ 6th in heat, did not advance)Men's 100 metres butterfly
Guðmundur GíslasonHeats — 1:03.3 min (→ 6th in heat, did not advance)Men's 200 metres individual medley
Guðmundur GíslasonHeats — 2:24.1 min (→ 5th in heat, did not advance)Women's 200 metres individual medley
Ellen IngvadóttirHeats — 2:43.1 min (→ 4th in heat, did not advance)Hrafnhildur GuðmundsdóttirHeats — 2:44.3 min (→ 5th in heat, did not advance)Men's 400 metres individual medley
Guðmundur GíslasonHeats — 5:20.2 min (→ 7th in heat, did not advance)Middle heavyweight
Óskar SigurpálssonPress — 145.0 kgSnatch — DQ (→ did not finish)