May secured a return to Number 10 despite a dire election night which saw her party's presence in Westminster drop from 331 seats to 318, with the number of Labour MPs increasing by 32 seats to 262.
He described Labour's performance in Thursday's election as "not good enough" and said it would be wrong to treat it as "a famous victory".
And in a phone call with the German Chancellor Angela Merkel, the PM attempted to show it's business as usual by confirming she'll start Brexit talks as planned in the "next couple of weeks".
May called the election to try to strengthen her hand in Brexit talks, but her party lost its majority in parliament.
May's aides, Nick Timothy and Fiona Hill quit on Saturday following sustained criticism within the party of the campaign.
Timothy and Hill had worked for May when she was interior minister, before she became premier in July previous year in the chaotic days that followed the Brexit vote.
The resignations of Timothy and Hill, on whom May had been heavily reliant since her previous job at the interior ministry, will be a personal blow.
"President Trump emphasised his commitment to the United States-United Kingdom special relationship and underscored that he looks forward to working with the Prime Minister on shared goals and interests in the years to come", the White House said in a statement on the telephone conversation between the two leaders.
"It is not the outcome any of us would have wanted in the Conservative Party".
Although in May's campaign sloganeering the Tories would provide a "strong and stable" government, there's nothing strong or stable about the new arrangement: the DUP won just 10 seats, which gives the government a hair's breadth majority of just 328.
Standing outside her Downing Street official residence, May said she would form a government by relying on support from "friends" in Northern Ireland's Democratic Unionist Party and lead Britain in talks with the European Union to secure a successful deal.
After winning her parliamentary seat, May said on Friday her Conservative Party would take responsibility for delivering stability if it won the most seats in the election.
Kashmiris 'brainwashed' to take part in stone-pelting: army chief
However, his statement drew flak from the ruling party Bharatiya Janata Party and its members. Congress spokesperson Meem Afzal said, "Our party respects the Army and so does the country.
A deal between the government and the DUP could also unsettle the precarious balance between Northern Ireland's British loyalist and Irish nationalist parties, whose power-sharing administration in Belfast collapsed earlier this year.
The turmoil engulfing May has increased the chance that Britain will fall out of the European Union in 2019 without a deal.
Ms May called the snap election to win a clear mandate for her Brexit plans, so she could slash immigration. And I think pretty much everyone thinks it is only a matter of time before she either resigns or is forced out by her own party.
Since the election, most of the members of May's cabinet have kept quiet on the issue of her future, adding to speculation that her days as prime minister are numbered. That was the case with an interview with a journalist from a local newspaper in the port town of Plymouth, which went viral online, where genuine questions about local concerns about potential Brexit-related job cuts were met with unemotional, highly general responses.
The pound on Friday fell 1.7 percent against the USA dollar and 1.4 percent against the euro.
Defence Minister Michael Fallon said he believed there was a majority in parliament for this Brexit plan.
"The Conservatives have not yet broken the British system of democracy, but through their hubris and incompetence they have managed to make a mockery of it", it said in an editorial. She would get off her back the hardline Brexit fringe that was threatening to hold her to ransom in the exit process; she would win herself the flexibility to make the hard and perhaps unpalatable compromises that would inevitably have to be made with the European Union in the exit negotiations. It is due to present its platform for the next session in the Queen's Speech at the State Opening of Parliament on June 19. Her advisers said there were 800 activists cheering her on. "It is far from guaranteed to vote the deal through". To twist her words in April, "every vote against the Conservative Party has made her weaker".
Former Tory minister Lord Barker said there was little appetite for a Tory leadership contest, but told BBC's Newsnight that the prime minister was a "terrible campaigner" and "there's clearly not going to be another election with Theresa May at the head".
He said Britain's neutrality in the province since 1990 had been the "basis for the peace negotiations".
He urged May to "go and make way for a government that is truly representative of this country".
British Labour leader Jeremy Corbyn says it's time for Prime Minister Theresa May to stand down after poor election results.
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