| Peter Mohr Dam | |
| Office1: | Prime Minister of the Faroe Islands |
| Term Start1: | 12 January 1967 |
| Term End1: | 8 November 1968 |
| Monarch1: | Frederik IX |
| Predecessor1: | Hákun Djurhuus |
| Successor1: | Kristian Djurhuus |
| Term Start2: | 8 January 1959 |
| Term End2: | 4 January 1963 |
| Monarch2: | Frederik IX |
| Predecessor2: | Kristian Djurhuus |
| Successor2: | Hákun Djurhuus |
| Birth Date: | 11 August 1898 |
| Birth Place: | Skopun, Sandoy, Faroe Islands |
| Death Place: | Tórshavn, Streymoy, Faroe Islands |
| Party: | Javnaðarflokkurin |
| Profession: | Teacher |
Peter Mohr Dam (11 August 1898 – 8 November 1968) was a Faroe Islands politician who was one of the founders of the Social Democratic Javnaðarflokkurin party in 1926.
Born on 11 August 1898, in Skopun, Faroe Islands, Dam became a teacher in Tvøroyri.
He was member of the Faroese Løgting from 1926 until his death in 1968. Chairman of the Social Democratic Javnaðarflokkurin party from 1936 until his death in 68. He was a member of the town council of Tvøroyri from 1925 until his death, mayor of Tvøroyri from 1934–1957.
He was member of the Danish Folketing as one of two Faroese members from 1948–1957 and 1964–1967. From 1958 to 1963 and from 1967 to 1968 he was the Prime Minister of the Faroe Islands (Løgmaður). Dam died in office, on 8 November 1968.
He was the father of three-time prime minister Atli P. Dam. His granddaughters, Helena Dam á Neystabø and Rigmor Dam, are also Social Democratic politicians.