The Labour leader compared Mrs May`s behaviour to the autocratic 16th century Tudor monarch in a newspaper interview today following a two-hour grilling before MPs last week in which she repeatedly refused to a parliamentary vote.
The PM is facing growing pressure to put the final deal to Parliament when the eventual deal is agreed in early 2019.
The PM has only made a vague commitment to show MPs her plan for Brexit before she triggers Article 50, the formal mechanism for leaving the EU, by the end of March.
She fears that holding a vote in Parliament after two years of negotiations could put June`s Brexit vote in jeopardy and would give MPs the power to block it.
Mr Corbyn told The Guardian today: `It [a final Brexit deal] would have to come to Parliament.
`She cannot hide behind Henry VIII and the divine rights of the power of kings on this one.`
He added: `The idea that on something as major as this the Prime Minister would use the royal prerogative to bypass Parliament is extraordinary - I don`t know where she`s coming from.`
Mr Corbyn, 67, is set to have a makeover in the New Year to tap into the populist anti-establishment sentiment sweeping through politics.
And in the interview today he dismissed reports he has told friends he is ready to step down as Labour leader in 2019 because of his age.
`Friends is obviously a very loose term these days - I`ve never said that. I`m very happy doing my campaigning,` he said.
This is the age of the 60s - look at Trump, Clinton, Sanders, Angela Merkel - look around you. Sixties is the new 40s, I keep fit,` the keen cyclist added.
Mr Corbyn repeated his support for open door immigration despite voters expressing clear concerns in June`s EU Brexit vote.
He defended the benefits immigration brings to the British economy and said there was a `level of exaggeration` about its negative impact.
He was also critical of calls for a work visa scheme to be introduced post-Brexit, describing the proposals as `fraught with difficulties`.
And he cast doubt over the feasibility of a system in which people could only come to Britain if they had a job.
He said: `Well then, that will work in reverse for British people going abroad, which would be difficult to implement and maybe is counter to the principles of the European market.`
Companies such as Airbus, Nissan and Hitachi need to be free to move skilled workers around Europe and would leave Britain if Brexit mean higher tariffs to access the single market, he warned.
Rather than set targets to bring immigration down he instead stressed the need to tackle undercutting in the workplace.
He said: `What we need to address is exploitation, undercutting and the way in which companies are trying to destroy industrial agreements by ignoring what they should be doing, which is paying people properly and not bringing people in to undercut.`
The left-winger also played down talk that Tony Blair could make a comeback to the parliamentary party.
Mr Corbyn said: `I think the nuanced differences of opinion between me and Tony Blair are quite well known ... I don`t see Tony Blair and I working together. I don`t think he does either.`
