REACTION TO THE BREXIT BREAKTHROUGH THE EU AND UK:
European Commission President Jean-Claude Juncker: "I believe that we have now made the breakthrough that we needed."
British Prime Minister Theresa May: "Getting to this point has required give and take on both sides.
"I very much welcome the prospect of moving ahead to the next phase, to talk about trade and security and to discuss the positive and ambitious future relationship that is in all of our interests."
Chancellor Philip Hammond congratulated the UK prime minister on Twitter: "Delighted a deal agreed in Brussels that paves way for further progress on talks about future UK/EU relationship. A positive step.
"Today's announcement in Brussels is a boost for Britain's economy. Now let's conclude a trade deal that supports Britain's jobs, businesses and prosperity."
The European Union's chief Brexit negotiator Michel Barnier tweeted a video of a sprinter jumping hurdles with the caption: "First #Brexit hurdles taken ... more to come."
The chairman of European Union leaders, Donald Tusk: "We are ready to start preparing a close UK-EU partnership in trade but also fight against terrorism and international crime, as well as security, defence and foreign policy."
Ireland's foreign minister said.Simon Coveney told broadcaster RTE: "What it means is any deal that is done has to be better than the default position, otherwise we won't be able to agree it.
"I think what that does is, it puts a floor under what is possible in terms of the outcome that we can't fall below, so Ireland obviously has a huge interest in the phase two negotiations."
Brexit Secretary David Davis said on Twitter: "Today is a big step forward in delivering Brexit. Been a lot of work but glad the Commission have now recommended that sufficient progress has been reached.
"Citizens can now be confident about the rights they enjoy; we should now move forward to discuss our future relationship with the EU on issues like trade and security."
Ex-Ukip leader Nigel Farage said on Twitter: "A deal in Brussels is good news for Mrs May as we can now move on to the next stage of humiliation."
Scottish First Minister Nicola Sturgeon tweeted: "Move to phase 2 of talks good - but devil is in the detail and things now get really tough.
"If #Brexit is happening (wish it wasn't) staying in single market & customs union is only sensible option. And any special arrangements for NI must be available to other UK nations."
DUP leader Arlene Foster said Friday's agreement gave "very clear confirmation that the entirety of the United Kingdom is leaving the European Union."
British Foreign Secretary Boris Johnson, who spearheaded the campaign for Britain to leave the European Union, tweeted: "Congratulations to PM for her determination in getting today's deal," he said on Twitter.
"We now aim to forge a deep and special partnership with our European friends and allies while remaining true to the referendum result - taking back control of our laws, money and borders for the whole of the UK."