Republican Senator Lisa Murkowski and Democratic Representative Mary Peltola of Alaska both won re-election against opponents backed by Donald Trump, the latest high-profile defeats of candidates supported by the former president.

Ms Peltola and Ms Murkowski came out on top after Alaska officials finished tabulating all ballots from the November election using the state's new "ranked choice" system, which allows voters to list candidates in order of preference.

For 20 years, 65-year-old Ms Murkowski has represented Alaska in the Senate and built an independent profile as one of the chamber's few centrists.

She was the first Republican senator to call for Mr Trump's resignation after his supporters attacked the US Capitol on 6 January 2021. She later voted to impeach Mr Trump, a fellow Republican.

"Thank you, Alaska. I am honoured that Alaskans - of all regions, backgrounds and party affiliations - have once again granted me their confidence to continue working with them and on their behalf in the US Senate," Ms Murkowski wrote on Twitter.

Senator Lisa Murkowski

Ms Peltola, the first Alaska Native elected to Congress, beat two Republicans: former vice-presidential candidate Sarah Palin and businessman Nick Begich.

Ms Palin, a former governor, is a polarising figure within the Republican Party.

Her vice-presidential run in 2008 was a precursor to the US Tea Party era of politics and helped pave the way for Mr Trump to win the White House.

Ms Murkowski and Ms Peltola would have won even under Alaska's old election rules, as they had each won a plurality of votes.

In the ranked-choice system, the candidate with the lowest share of votes in each round of counting is eliminated and the ballots that ranked them first are redistributed. The candidate with a majority of votes after all ballots have been tabulated wins.

The results of the races were widely expected, but nonetheless are a black eye for Mr Trump's brand in the opening days of his 2024 presidential campaign, particularly after the defeat of his preferred candidates in several other major races, including Senate contests in Pennsylvania and Arizona.