Leo Varadkar has said new Brexit guarantees don't undermine the Irish backstop.
British MPs will vote on the withdrawal agreement later, after the "legally binding" assurances were given to the UK over the backstop to avoid a hard border in Ireland.
Theresa May held last minute talks with European Commission President Jean-Claude Juncker in Strasbourg last night.
The EU has agreed to a legal 'instrument' which clarifies the withdrawal agreement without reopening it.
Mrs May claimed she received "legally binding changes" to ensure the measure aimed at avoiding a hard border in Ireland isn't permanent.
She'll now have to win over pro-Brexit Conservatives and the DUP to get the UK Parliament's approval for the deal.
Responding to the new developments, the Taoiseach said he hopes the deal will now get through the House of Commons.
He said: "The Instrument agreed yesterday puts those assurances on a legal footing and represents an unambiguous statement by both parties of what has been agreed.
It does not reopen the Withdrawal Agreement, or undermine the backstop or its application.
He added: "In many ways, Brexit has been a dark cloud over us for many months, and particularly the threat of no deal.
"A positive vote tonight can remove that cloud and restore confidence and optimism in Britain, Ireland and across the European Union."
'Legally binding'
Speaking at a press conference last night, Mrs May said: "The legal instrument that we have agreed is an addition to the Withdrawal Agreement. It has the same legal status as the Withdrawal Agreement. It is legally binding.
"That is what Parliament asked us to secure and that is what we have secured."
Britain's Prime Minister Theresa May, left, and European Commission President Jean-Claude Juncker attend a media conference at the European Parliament in Strasbourg, eastern France, Monday, March 11, 2019. (AP Photo/Jean-Francois Badias)He suggested: "There will be no new negotiations. It is this. In politics, sometimes you get a second chance.
"It is what we do with the second chance that counts."
The DUP - who've strongly criticised the backstop - said the new documents need "careful analysis".
The party added that they'll "scrutinise the text line by line" before reaching a conclusion.
Labour, meanwhile, confirmed it will vote against the deal, with Jeremy Corbyn suggesting Theresa May's "negotiations have failed".
It remains to be seen whether hardline pro-Brexit Conservative MPs will be persuaded to vote for the deal later.
All eyes are on the UK's attorney general Geoffrey Cox to see if he changes his legal advice on the Brexit deal.
