Theresa May's 'new Brexit deal': what changes has the PM made to the Withdrawal Agreement?
Speaking in central London, Mrs May outlined how her "new Brexit deal" differs to the previous deals rejected by Parliament - including a commitment in law to let Parliament decide on the customs issue.
She also announced that MPs will be given the opportunity to vote on whether to hold a second referendum on Britain's membership of the European Union.
Here are all the changes Mrs May revealed on Tuesday:
A legal commitment to conclude alternative arrangements to replace the Northern Ireland backstop by December 2020, so that it never needs to be used.
A commitment that, should the backstop come into force, the Government will ensure that Great Britain's border rules stay aligned with Northern Ireland's.
Negotiating objectives and final treaties for the UK's future relationship with the EU will have to be approved by MPs.
A new Workers' Rights Bill offering protections at least as favourable as those in the EU.
No change in the level of environmental protection when the UK leaves the EU.
As close to frictionless trade with the EU as is possible once the UK has left the single market but an end to free movement of people.
A commitment to align the UK with EU rules for goods and products to protect thousands of jobs dependant on just-in-time supply chains.
A commitment to allow MPs to decide on future customs arrangements with the EU.
A vote for MPs on whether the deal should be subject to a referendum.
A legal duty to secure changes to the current political declaration agreed with Brussels to reflect the new deal.