Some students bragged about cheating the law and voting up to six times in a bid to elect Jeremy Corbyn, it was claimed last night.

Tory MPs say they have seen evidence suggesting young people impersonated their friends at poling stations in order to cast their ballots multiple times in the recent vote.

And they also believe that some students exploited rules which allows them to register in two constituencies to vote for Labour twice.

The shock allegations will fuel calls for electoral laws to be tightened up to crackdown on electoral fraud.

An MP alerted the authorities after two students voted on June 8 despite being out of the country and not being registered for postal or proxy votes.

Conservative MP Peter Bone is bringing forward a private members bill to stop voters being registered in two constituencies after allegations have emerged that some students voted up to six times to in a bid to get Jeremy Corbyn elected on June 8

But the MP told The Telegraph that no action has been taken as the authorities have failed to respond to the problem.

Karl McCartney, a Tory MP who was ousted at Labour at the election, told the newspaper: 'We have a screenshot of someone who said they voted twice on the day and we also suspect people were taking other people's polling cards and impersonating them.'

Other MPs have reported seeing students boast about voting up to six times by impersonating their friends at polling stations.

Voters do not have to show identification when they arrive to cast their ballots.

Election fraud: A Corbyn supporter took to Twitter to boast about voting twice

As the election fraud row grew, two Tory MPs are hoping to force through change by introducing a private members' bill to ban people registering in two constituencies.

The bill is being brought by Christopher Chope and Peter Bone and is expected to gather widespread support across the House of Commons.

Chris Skidmore, minister for the constitution, said: 'The Government will not tolerate abuse of the voting system and is looking at further ways to tackle what is a serious crime.'

But Labour refused last night to support a ban on people registering to vote in two constituencies as the row over electoral fraud grew.

Downing Street also intervened yesterday, with Theresa May saying that anyone who illegally voted twice should be reported to police. Her spokesman said it was vital the principles of democracy were upheld.

Theresa May said that anyone who illegally voted twice should be reported to police. The row has led to calls for an outright ban on people registering to vote in more than one constituency

It is illegal to vote twice – the fine can be £5,000 – but it is not illegal to register in more than one constituency

Despite this, police in Canterbury and Lincoln – two of the university towns where double voting is said to have taken place – revealed they were not investigating the issue.

Ex-Tory minister Sir Henry Bellingham also called for a ban, demanding students be prevented from registering in the seat where they live while at university.

But Cat Smith, Labour spokesman for voter engagement, refused to endorse the calls and claimed the Government should be cautious about any change that might deter people from voting.

Mr Bone accused Labour of a cynical attempt to get more votes.

He said: 'Nobody doubts now that this happened so why wouldn't they want to take a very simple measure to stop it. Are they so undemocratic that they don't believe in one person, one vote?'

The Electoral Commission has said it was investigating 'troubling' evidence of illegality on polling day.

The electoral watchdog warned that a change in the law could be need to prevent the practice, which carries a minimum fine of £5,000.

It has received more than 1,000 complaints from the public and 38 complaints from MPs. Mr Bone said thousands of students were suspected of voting twice.

They were targeted by Labour, who pledged to scrap tuition fees.

It said a ban on registering in more than one constituency would be undemocratic and insisted the party had encouraged young people to vote.

'Double voting is a serious crime and it is vital that the police have the resources they need to bring about prosecution,' Miss Smith said.

'However, we urge caution when looking at measures to tackle this issue – a blanket ban on being registered at two addresses would exclude those who for reasons of work or study need to be registered in two places.

'This cannot be an attempt to make it harder for young people to register.'

Asked whether Mrs May believed anyone caught voting twice should be prosecuted, her official spokesman said: 'Yes. One person, one vote is a core principle of the democratic process in this country.

'If anyone has evidence of an individual voting twice, they should report it to the local returning officer and police.'

An increase in the number of younger voters is thought to have fuelled the surge in support for Labour.

Nearly two million applied to vote after Mrs May called the snap election.