Mrs May will inform Her Majesty that alongside the Northern Irish party led by Arlene Foster, the Conservative Party can command a majority in the House of Commons and can, therefore, stay on as Prime Minister.
Newspapers fronted with photos of British Prime Minister Theresa May and others are displayed at a shop in Westminster in London, Saturday.
The DUP could put pressure on the Conservative Party to boost public spending in Northern Ireland, it will wish to ensure that Northern Ireland is given the same importance as the United Kingdom during Brexit talks. The Tories won 318 seats, down 12, and will have to rely on the DUP to get things done.
With Home Secretary Amber Rudd, Brexit Secretary David Davis, and Defence Secretary Sir Michael Fallon all retaining their posts, there was speculation any reshuffle could be limited to replacing the eight ministers who lost their seats in the election.
Prime Minister Theresa May's failed election gamble has cast a party in Northern Ireland in the role of kingmaker, giving the province an unexpected chance to have a big say in Britain's divorce from the European Union.
Foster is also on record stating: "no-one wants to see a hard Brexit", but her colleagues such as Sammy Wilson MP and Ian Paisley Jr, are known to be closely aligned with Mr. Farage.
The Prime Minister's statement announcing the new Government
Labour won 262 seats - 30 more than they won in 2015 - while Conservatives won 318, 13 fewer than they started with. He said the party supports Mrs May's call for a period of calm, adding "we certainly agree with that".
But in practice, a working majority will require just 322 MPs, as the Speaker does not vote and Sinn Fein has so far declined to take up its seats.
Stressing that her party had won the maximum votes and emerged as the single largest party, she claimed that only the Tories can provide the "certainty" needed to guide the country through crucial Brexit talks that begins with the European Union on June 19.
"I would have thought that's enough to go, actually, and make way for a government that will be truly representative of all the people of this country".
From the EU's perspective, the upset meant a possible delay in the start of Brexit talks and an increased risk that negotiations would fail. "We still haven't had all the results, we need to see where we are", Ms Soubry said.
"It's all moving - lots of chat behind the scenes from Conservatives furious with her for calling this election in the first place".
May unexpectedly called the snap election seven weeks ago, even though no vote was due until 2020.
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May's party is short of the 326 it needed for an outright majority and fairly down from the 330 seats it had before the election. Mrs May's decision to seek a deal with the DUP has prompted concerns from some Tories. "This is still on", Corbyn says.
"It's very hard to see how two parties emboldened by the results this evening will be any more conciliatory when it comes to re-establishing the devolved institutions", Naomi Long, leader of the non-sectarian Alliance Party, who like all smaller parties failed to win a seat, told the BBC. "Theresa May has lost credibility and leverage in her party, her country and across Europe".
"It's an issue very close to my heart and one that I wanted categoric assurances from the prime minister on, and I received (them)", said Davidson, who is engaged to be married to her female partner.
It emboldened the not-so-popular party leader to demand that May must resign as he was "ready to serve the country".
The DUP has said: "The party's stance is consistent, that anyone involved in illegal activity should be investigated and face the full weight of the law".
EU Commission chief Juncker said he hopes the British election result will cause no further delays in Brexit talks.
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That means the DUP will back the government on key votes, but it's not a coalition government or a broader pact. She has said she favours retaining the greatest possible level of access to Europe's single market.