Iceland competed at the 1936 Summer Olympics in Berlin, Germany.
Results by event
- Key
- Note – Ranks given for track events are within the athlete's heat only
- Q = Qualified for the next round
- q = Qualified for the next round as a fastest loser or, in field events, by position without achieving the qualifying target
- NR = National record
- N/A = Round not applicable for the event
- Bye = Athlete not required to compete in round
- Men
- Track & road events
| Athlete | Event | Heat | Quarterfinals | Semifinal | Final |
| Result | Rank | Result | Rank | Result | Rank | Result | Rank |
| Sveinn Ingvarsson | 100 m | | 5 | Did not advance |
- Field events
- Combined events – Decathlon
| Athlete | Event | 100 m | | | | 400 m | | | | | 1500 m | Final | Rank |
| Karl Vilmundarson | Result | 12.6 | 5.06 | — | — | — | — | — | — | — | — | — | DNF |
| Points | 495 | 472 | — | — | — | — | — | — | — | — | — |
References