The Labour leader launched veiled jabs at Donald Trump’s administration, saying that by electing Mr Biden as the next president, US citizen has chosen “integrity over dishonesty”. He also claimed Mr Biden’s victory is “a chance to reset” the partnership between the US and Britain.
However, the president-elect has previously criticised the Labour party for having moved “so, so far to the left”.
Joe Biden is considered to have won the US election having secured more than the 270 electoral votes required to do so.
Congratulations have been issued from national leaders across the world, while sitting president Donald Trump has vowed to legally challenge the result.
Immediately following Mr Biden’s win, Sir Starmer said: “He ran a campaign on the values that we in the United Kingdom share – decency, integrity, compassion and strength.”
He also said that the US Democrats, as well as Joe Biden “have always shared Labour’s values and the links between our two parties remain strong.”
In addition, speaking on the BBC’s Andrew Marr show, the Labour leader described Labour and the Democrats as “sister parties in a sense”.
READ: US election: British politicians scramble to cement ties with Democrat Joe Biden
It follows what analysts have referred to as a split within Labour itself after former leader Jeremy Corbyn was suspended from the party last month.
His suspension followed comments he made in response to a report on anti-Semitism within the party published by the Equality and Human Rights Commission.
Len McCluskey, an ally of Mr Corbyn and leader of the Unite trade union, warned the former leader’s suspension could “create chaos within the party”.
However, Lisa Nandy, Shadow Foreign Secretary, said she supported Mr Corbyn’s suspension, calling it “the right thing to do”.
In an article for The Guardian, Sir Starmer said the election provided “stark lessons for those of us who want to see progressive values triumph over the forces of division and despair”, remarking it “takes time” to win back voter trust.
He also called on Britain and the US to work together on “defeating coronavirus and tackling the climate crisis”.
Meanwhile, analysts say the relationship between Mr Biden and Prime Minister Boris Johnson is uncertain.
In 2019, Mr Biden referred to Boris Johnson as “kind of a physical and emotional clone” of Donald Trump