Lancaster MP Cat Smith said a lot of young people “feel a bit robbed” following the EU referendum result.
Speaking from Glastonbury in Somerset, where she has been addressing festival goers on the Left Field Stage, Ms Smith said she would “certainly not be supporting a vote of no confidence” in Jeremy Corbyn.
Calls have been made by two Labour MPs for the leader to stand down.
Ms Smith said: “I think Jeremy played a really positive role in the referendum debate, and I’m speaking as someone who shares his euroscepticism.
“He has spoken to a lot of people who didn’t buy in to the mainstream leave campaign.
“Obviously this didn’t get the same level of media attention because they focussed on Boris versus David Cameron instead.
“It’s David Cameron’s fault that we are now out of the EU, because it was he who promised the referendum.”
Ms Smith said that unlike the Conservatives, the Labour Party has been united on a remain vote.
“The dye was cast before Jeremy Corbyn became leader of the Labour Party,” She said.
“I think one of the main reasons we are out is because voters feel politicians are out of touch.
“On that I agree with them.
“But of course I fully respect the democracy of those who have voted.
“I spoke to a constituent following a talk I did here at Glastonbury, and he said he didn’t vote because he was convinced remain would win.
“Going forward what’s really obvious, within hours, the claim that £350m a week that is spent on Europe could be spent on the NHS instead has come apart, and it’s disappointing that voters have been misled yet again.”
Nigel Farage told a TV talk show host this morning that the figure and suggestion it could be used for the NHS was a “mistake”.
“In Lancaster city area, the vote was remain, at the university it was 99-1, but it was the rest of the district area that pushed it over to leave.
“Young people now have to live with the consequences of this, and feel that their voice wasn’t heard. They feel a bit robbed just now.”