The Prime Minister's Brexit deal was rejected by a margin of 230 MPs.
"Northern Ireland's economy and stability can't be sacrificed because politicians in London have failed to recognise the obvious", he added.
UUP leader Robin Swann said the defeat of the Withdrawal Agreement was "entirely predictable".
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"They weren't listening despite the will of Parliament, in opposition to this agreement, being clear for weeks".
Others in Brussels expect that a cross-party consensus will be necessary in the Commons, which will require Labour votes and therefore lead to a softer version of Brexit. A People's Vote is a must.
Ms Villiers said it was in the interests of both sides that there was an orderly exit, but it was hard to say yet whether that will be achieved before 29 March or afterwards.
Alliance leader Naomi Long also backed a People's Vote.
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The Irish government said it regretted the outcome of the vote and that it believed it increased the risk of a "disorderly Brexit".
"To suggest that we will return to the borders of the past when the borders of the past were there for a completely different reason".
The Irish ministers" gaffe came as they appeared at a press conference in Dublin where Mr Ross admitted that he "anticipated' there would be checks on goods moving between the United Kingdom and Ireland in the event of no deal.
The chances are low for the May's Brexit deal to pass in the House of Commons in a meaningful vote on Tuesday, January 15 with consequences ranging from disorderly divorce, early elections or even no Brexit at all. It deserved no better.
Aodhan Connolly, director of the Northern Ireland Retail Consortium, said the result will concern the Northern Ireland business community. After Brexit, the border will be the UK's only land frontier with the EU. "There were 20,000 soldiers in Northern Ireland and they couldn't hermetically seal the border in Northern Ireland".
"We are now closer than ever to the possibility of a no deal that will be a disaster for Northern Ireland".
Retail NI's chief executive Glyn Roberts said although Mrs May's deal was not "perfect", it still represented a path towards some form of certainty.
While the Prime Minister's draft Withdrawal Bill was in no way ideal, it was definitely preferable to crashing out of the European Union with no deal. The current solution on the table is the backstop.
'As someone who lived through the Troubles, ' the DUP leader said, 'we never had a hard border.