He called it a “mis-spin of events” with the majority of MPs in the House of Commons having backed the Remain campaign.
Boulton asked: “Why do you think she [Mrs May] needs a larger Conservative majority? That’s what she’s asking for – I don’t know whether she’s going to get it.
“Is it actually because of people like you pushing her further towards hard Brexit and the right all the time?”
Jacob Rees-Mogg insisted Brexiteers were not holding Theresa May to "ransom" over the UK's EU exit
There’s no question of the Brexiteers holding the Government to ransom
The North East Somerset MP replied: “No, the issue is not the people in my position because if Mrs May wanted to do things that people like me didn’t like, she would get support from the Labour and the Lib Dem and the Scottish national benches.
“So there’s no question of the Brexiteers holding the Government to ransom.”
Probing further, Boulton asked if the calls for an election had anything to do with the Prime Minister being “pushed” to leave the single market and the customs union.
But Mr Rees-Mogg said: “That’s a complete misunderstanding as you know perfectly well.
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Theresa May during her shock snap general election announcement
“The numbers don’t add up that way, that if the Tory Brexiteers, people who campaigned for Brexit, voted against the Government, the Government would always get its business through because the pro-Remain are a much larger number in the House of Commons.
“It’s never been a risk from the pro-Leavers and that’s always to my mind been a misunderstanding – a mis-spin of events.”
The comments come after Mrs May called for a general election on June 8.
MPs are set to vote tomorrow in the House of Commons on whether to back her call.
Mrs May said: “As we look to the future the Government has the right plan for negotiating our new relationship with Europe. We want a deep and special partnership between a strong and successful EU and a UK that is free to chart its own way in the world.
“That means we will regain control of our own money, our own laws and our own borders. And we will be free to strike trade deals with old friends and new partners all around the world.
“This is the right approach and it is in the national interest.
“But the other political parties oppose it. At this moment of enormous national significance there should be unity here in Westminster but instead there is division. The country is coming together but Westminster is not.”