At a crunch meeting with the Tories' 1922 Committee, May vowed to get the party "out of this mess", after the Conservatives lost 13 seats at the General Election.
The Tories had hoped to rout Labour at the polls, with some surveys putting May's party 20 points ahead of Jeremy Corbyn's party early in the campaign.
Instead, the UK has been left with a hung parliament, and May's own future severely in doubt, leading to her apologies today.
Speaking to her MPs in a committee room in Westminster, the Prime Minister said: "'I got us into this mess and I'll get us out of it", repeatedly expressing contrition for colleagues losing their seats."
And with speculation rife that she could be removed from office by her party, May added: "I'll serve as long as you want me."
It comes after 1922 Committee chair Graham Brady told Sky News today there was "no clamour" for a leadership election within the party.
Fantastic meeting with the Prime Minister - party right behind her— Nadine Dorries (@NadineDorries) June 12, 2017
Separately, the Prime Minister hosted the newly emboldened leader of the Scottish Conservatives Ruth Davidson earlier today.
The Tories won 12 seats North of the border, and Davidson has responded to the victories by demanding May "re-open" Brexit planning.
In a statement issued after the talks, Davidson lent the PM her full support.
However, she added: “The key issue is to ensure we put our country’s economic future first and foremost in our minds as we go ahead with Brexit."