Parliamentarians voted 321 to 278 on Wednesday, a majority of 43, to rule out the prospect of leaving the EU without a deal at any time.
Theresa May insisted however that no-deal remains her default option if an agreement can not be struck.
It came 24 hours after Mrs May’s Withdrawal Agreement was rejected comprehensively for a second time.
The prime minister confirmed that MPs will vote on Thursday whether to seek an extension of Article 50 until June 30.
Any extension beyond that date would likely require the UK to participate in the European Parliament elections, the government warned.
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