Delivering a statement outside Downing Street the Prime Minister said her Brexit deal "delivers for the whole UK family", after a breakthrough in negotiations with Brussels.
Ms May's statement followed the news that a draft political declaration outlining the UK's future relationship with the EU had been agreed, following her meeting with European Commission president, Jean-Claude Juncker, last night.
The political declaration together with the withdrawal agreement will form the UK's overall Brexit deal.
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"I had a good, detailed discussion with President Juncker where I set out what was needed in that political delcaration to deliver for the UK," she said.
"We tasked our negotiating teams to continue working overnight and as a result the text of that declaration has been agreed between the EU and the UK."
Ms May said it was "now up to the 27 leaders" of the EU member states to examine the agreement in the days leading up to Sunday's EU summit, in which it is hoped leaders will "finalise and formalise" the Brexit deal.
She added that she was "confident" that the deal would be agreed on Sunday.
Ms May revealed that she had already met with the Cabinet to update them on the deal, and will address the House of Commons this afternoon.
"The British people want this to be settled, they want a good deal that sets us on course for a bright future. That deal is wihin our grasp and I am determined to deliver it," she concluded.