| Office: | Minister of Trade |
| Term Start: | 28 January 1928 |
| Term End: | 15 February 1928 |
| Primeminister: | Christopher Hornsrud |
| Predecessor: | Charles Robertson |
| Successor: | Lars Oftedal |
| Office2: | Member of the Norwegian Parliament |
| Term Start2: | 1 January 1922 |
| Term End2: | 2 July 1956 |
| Constituency2: | Møre og Romsdal |
| Office3: | Mayor of Ålesund |
| Term Start3: | 1 January 1920 |
| Term End3: | 31 December 1921 |
| Predecessor3: | Peter Elias Karolius Sæter |
| Successor3: | Tore Toresen Berset |
| Birth Date: | 7 May 1883 |
| Birth Place: | Sula, Møre og Romsdal, Sweden-Norway |
| Spouse: | Laura Olufine Larsen [1] |
| Party: | Labour |
Anton Ludvig Alvestad (7 May 1883 – 2 July 1956) was a Norwegian politician and government minister for the Labour Party. Born in Sula, Alvestad was a baker by profession, and owned his own bakery. He was also active in the temperance movement. An active labour politician from an early date, he was among the founding members of the Labour Party of Ålesund. Between 1920 and 1921 he was the first Labour mayor of the city.
Elected to the Norwegian Storting for the first time in 1921, he was re-elected repeatedly up until his death in 1956. In 1928 he served as Minister of Trade in the short-lived cabinet of Christopher Hornsrud. This, the first Labour government of Norway, lasted less than a month, from 28 January to 15 February.