| Nafn | Tímabil |
| Jón Þorkelsson | 1900 – 1924 |
| Hannes Þorsteinsson | 1924 – 1935 |
| Barði Guðmundsson | 1935 – 1957 |
| Stefán Pétursson | 1957 – 1968 |
| Bjarni Vilhjálmsson | 1968 – 1984 |
| Ólafur Ásgeirsson | 1984 – 2012 |
| Eiríkur G. Guðmundsson | 2012 – 2019 |
| Hrefna Róbertsdóttir | 2019 – |