In a sly dig at Johnson, who is the favorite to succeed PM Theresa May, Major claimed that "no serious politician" should put the Queen in such a "constitutional controversy".
He said he believed there would be a queue of people who would seek a judicial review, himself among them.
"So I'm not saying this is going to happen but this is what it's being discussed", she added.
Major accused Johnson of hypocrisy for backing Brexit to secure more power for Britain's parliament, only to propose to sideline lawmakers when it suited him. Charles was eventually executed, in 1649.More news: HILL HOUSE Star Oliver Jackson-Cohen Is Your New INVISIBLE MAN
Boris Johnson, a leadership candidate for Britain's Conservative Party, visits Wetherspoons Metropolitan Bar in London, Britain, July 10, 2019.
Mr Johnson dismissed the "very odd" threat, insisting that parliament should accept its responsibility to deliver Brexit.
The question of suspending parliament was raised during a televised debate between Johnson and Hunt, the foreign minister, on Tuesday evening.
If I am not mistaken, that schedule can be sped up if Hunt would step out.More news: China's Fosun in talks to invest USD 940 million in Thomas Cook
Votes in parliament have indicated that a majority of lawmakers are against a no-deal Brexit because of concerns that it would cripple supply chains and damage trade.
When asked about whether or not the Brexit campaign promise that Wales would "not be a penny worse off" would be honoured, current front-runner Boris Johnson said: "I can give that categorical reassurance that the shared prosperity fund will continue".
But Mr Major's warning was supported by Mr Hammond, who said: 'The idea that elected members of parliament would be locked out of their place of work is truly shocking'.More news: Minecraft Earth Gameplay Looks Adorable
"Whilst I support numerous proposals and policies put forward by Hunt, we are not seeking an entrepreneur but a leader that will bring our party and country together".