The prime minister addressed the House of Commons a fortnight after MPs voted to go back to Brussels to replace the controversial Irish border backstop.
May told MPs on Tuesday they must “hold their nerve” and come together behind the Eu Brexit deal, ready for 29 March.
Addressing the Commons May said, “We now all need to hold our nerve to get the changes this House requires and deliver Brexit on time.
“By getting the changes we need to the backstop; by protecting and enhancing workers’ rights and environmental protections; and by enhancing the role of Parliament in the next phase of negotiations I believe we can reach a deal that this House can support.
“We can deliver for the people and the communities that voted for change two-and-a-half years ago – and whose voices for too long have not been heard.
“We can honour the result of the referendum.
“And we can set this country on course for the bright future that every part of this United Kingdom deserves.
“That is this Government’s mission. We shall not stint in our efforts to fulfil it.”
However, Labour leader Jeremy Corbyn accused May of “running down the clock” in the hope MPs will be “blackmailed” in to the fear of a no-deal Brexit.
Corbyn standing at the despatch box went on to say, “this is an irresponsible act… She is playing for time and playing with people’s jobs, our economic security and the future of our industry.
“I urge all members across this House to think about the damage the Prime Minister’s strategy is doing the threat to industry and skilled jobs in communities across Britain.
“Now is not the time to stand idly by, now is the time to stand up and do the right thing: to rule out no deal and back Labour’s alternative plan.”