In the UK, Jeremy Corbyn says he regrets 11 shadow cabinet ministers have resigned over the last 24 hours.
But in a statement, he's made it clear he won't be stepping aside as leader of the British Labour party – even though it's claimed he won't win a general election.
He says he was elected by hundreds of thousands of Labour Party members with “an overwhelming mandate for a different kind of politics.”
David Ward from The Communication Workers Union who supports Mr Corbyn says he should be given more credit by those who've left.
Meanwhile, the US Secretary of State John Kerry will visit both London and Brussels today to talk about the future of the European Union.
He says it's important that leaders work together to provide stability to minimise disruption following the UK's decision to leave the EU.
And despite the result going against America's wishes, Mr Kerry believes the will of the people should be respected.
Elsewhere, Boris Johnson's calling on the narrow majority who voted for the UK to leave the European Union to “reassure the remainers”.
In his weekly column for the Telegraph, the former London Mayor has also stated he'll try to unify what he describes as “a divided nation.”
But there isn't any declaration about him standing as a candidate for the Tory leadership.
And, the Welsh Government's Cabinet will hold an urgent meeting later to discuss the implications of the UK voting to leave the EU.
First Minister Carwyn Jones says it will be one of the most important meetings since devolution.
Ministers will look at the potential consequences of the referendum result for Wales – discussing things like protecting jobs and keeping EU funding for as long as possible.
