The first elections to the local government in the municipality of Múlaþing took place on 19 September 2020. It was a restricted proportional voting. On the electoral roll for the local elections were 3,518 or 70.2% of the total population in the municipality on 1 September 2020.
Males on the electoral roll were 1,804 (51.3%) and women 1,714 (48.7%). In the election, 2,233 voters or 63.5% of the 3,518 on the electoral roll, voted. The turnout was more then 4% lower than in the local elections for the whole country in 2018. No difference was found between the turnout of males and females as for both it was 63.5%. The number of valid votes was 2,191. There were 35 blank ballots and 7 other invalid ballots, or a total of 1.9% of the votes cast.
A total of 4 voters were assisted in voting, 3 men and 1 woman. Of this group, all were assisted in voting outside the polling station. All 4 received the assistance of an election manager or election commissioner in voting outside an election meeting.
The Independence Party received the most votes, or 29.3%, and four people elected. Next came Austurlistinn with 27.2% and three people elected. This was followed by the Left Green Movement with 13.4% and one person elected and the least support was given to the Center Party with 11.0% and one person elected.
| Elected representatives by sex and political organisation in Múlaþing | ||||||||
| People elected | Percent | |||||||
| Votes | % | Total | Males | Females | Males | Females | ||
| Total | 2.191 | 100,0 | 11 | 7 | 4 | 63,6 | 36,4 | |
| B | Progressive Party | 420 | 19,2 | 2 | 2 | 0 | 100,0 | 0,0 |
| D | Independence Party | 641 | 29,3 | 4 | 3 | 1 | 75,0 | 25,0 |
| F | Austurlistinn | 596 | 27,2 | 3 | 1 | 2 | 33,3 | 66,7 |
| M | The Centre Party | 240 | 11,0 | 1 | 1 | 0 | 100,0 | 0,0 |
| V | The Left Green Movement | 294 | 13,4 | 1 | 0 | 1 | 0,0 | 100,0 |
In parallel with the local government elections, representatives were elected to so-called local councils. All residents in the four older municipalities were candidates to the local government, but formally 18 of them voluntered. A total of 8 people were elected to the local councils, two from each municipality. The number of votes in the local government elections was 1,331 and six males and two females were elected.