British opposition leader Jeremy Corbyn should heed a no-confidence motion passed by his fellow Labour Party members this week and "go," British Prime Minister David Cameron said Wednesday.

Corbyn has come under increasing pressure following last week's Brexit vote. His Labour Party had campaigned for Britain to remain in the European Union, but the Leave camp won 52 per cent of the vote, and many have criticized what they said was Corbyn's lacklustre support of the Remain campaign.

"It might be in my party's interest for him to sit there, it's not inthe national interest and I would say, for heaven's sake man, go!" said Cameron during the weekly prime minister's questions period.

Corbyn lost a no-confidence vote of Labour legislators by 172-40 on Tuesday. The Labour leader said he does not recognize the vote, as he ascended to party leadership by a general party vote, not one conducted by his fellow members of parliament.

Corbyn's support in the party has bled away since the Brexit vote, with multiple members of his shadow cabinet stepping down. One member - who was only appointed Monday - stepped down on Wednesday.

Shadow chancellor John McDonnell told Sky News Wednesday that it looked as if there would be a leadership election in the near future.

Former party leader Ed Miliband also joined in the chorus Wednesday, calling Corby's position "untenable."

The former party leader said he had supported Mr Corbyn "all the way along," but urged the opposition leader to now reflect on what is "the right thing for the country," in comments to broadcaster BBC 4.

"I am not a plotter, I am somebody who cares deeply about mycountry, deeply about my party, deeply about the causes that Jeremy and I care about," Miliband said. "I think the best thing on all of those criteria is that he stands down, painful though that might be for him and many of his supporters.

"I deeply respect Jeremy as a person and, indeed, as a politician for the causes he has fought for. My judgment is those causes are more likely to be served if he goes."

Miliband stepped down last year after leading the party to defeat against Cameron's Conservatives. He said if he had ever found himself in the same position as Corbyn, he would have stepped down.

His appeal followed similar calls from past Labour leaders such as Harriet Harman and Margaret Beckett.

Corbyn's camp insisted he was going nowhere and urged fellow members of parliament to "put up or shut up."

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