It comes as the former Labour leader of Haringey Council Claire Kober has lifted the lid on threats and intimidation by members of Momentum – the hard Left movement which has taken over the Labour Party.
Ms Kober is quitting as council leader after a campaign of threats and intimidation by members of the far Left group.
Speaking to BBC’s Andrew Marr she told of a Labour Party meeting when hard-left activists sang “I’ll be watching you” – words from Every Breath You take – a song about stalking by The Police.
“It’s a song about stalking,” she said.
She went on: “I’ve been a leader for ten years a s a borough leader, and as any other politician in a frontline role, you become pretty resilient.
“I have to say in the last two years I have attracted more threats more bullying, more intimidation than in the previous eight years put together.
“It is absolutely sexist – that runs from the way I was treated by my National Executive Committee just last week – and I don’t think a man would be treated the same way.”
Speaking on ITV’s Peston on Sunday, Labour MP Stella Creasy confirmed she had been targeted by Leftwing thugs in the same way.
Her revelations follow a group of hard Left supporters of Mr Corbyn breaking in to a meeting at the University of West England in Bristol where Mr Rees Mogg was addressing students in what turned out to be a violent protest.
The actions have been widely condemned but come as Labour has allowed an alleged Holocaust denier Mike Sivier back into the party.
Shadow Chancellor McDonnell has been accused of stirring up violence from his past speeches to far Left activists.
Previously he has told supporters that “sometimes you feel like physical force, you feel like giving them a good slapping.”
He described students rioting in Westminster as “the best of our movement” and said Margaret Thatcher should be “assassinated”.
On another occasion he quoted an activist saying that work and pensions secretary Esther McVey should be lynched.
And he told activists: “I want to be in a position where no Tory MP can travel anywhere without being hounded.”
Along with the launch of a petition calling for support in protecting free speech Mrs May is due to pledge to bring in new laws against intimidation of political candidates.
In a speech this week she will say: “In the 21st century it cannot be acceptable for any woman – or any person – to have to face threats and intimidation simply because she or he has dared to express a political opinion.”
Momentum has denied that its members are involved in violence and intimidation.