- Incumbents
{{Year in Iceland|1945}}The following lists events that happened in 1945 in Iceland. Incumbents- President – Sveinn Björnsson
- Prime Minister – Ólafur Thors
{{Years in Iceland}}{{Year in Europe|1945}} 5 : 1945 in Iceland|1940s in Iceland|1945 by country|1945 in Europe|Years of the 20th century in Iceland |