The PM secured her cabinet's backing for the deal after a five-hour meeting but Brexit Secretary Dominic Raab has just resigned over it.
She has also faced a backlash from Tory Brexiteers and her Democratic Unionist Party (DUP) backers, amid suggestions of moves to force a no-confidence vote.
Labour will announce later whether or not it will back the deal.
However, leader Jeremy Corbyn said he did not believe the agreement - set out in a 585-page document - was in the national interest.
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