'I'm pleased to have received the backing of my colleagues in tonight's ballot,' she said outside her Downing Street office after the result was announced.
British Prime Minister Theresa May on Wednesday survived a confidence vote by her own MPs but lost the support of one-third of her colleagues, signalling the battle she still faces to get her Brexit deal through parliament.
May won the backing of 200 Conservative lawmakers, but 117 voted to oust her -- and only after she conceded she would step down before the 2022 election.
"I'm pleased to have received the backing of my colleagues in tonight's ballot," she said outside her Downing Street office after the result was announced.
"A significant number of colleagues did cast votes against me and I've listened to what they've said."
The confidence vote followed her decision on Monday to postpone a planned vote in the House of Commons on the text, because she feared a crushing defeat.
She has promised to hold that vote by January 21 -- when she may yet still lose, plunging the Brexit process into fresh crisis.
May heads to Brussels on Thursday for a pre-planned EU summit, where she will press fellow leaders to give her something to help sell the Brexit deal to sceptical MPs.
Many Conservatives, and the Northern Irish Democratic Unionists (DUP) who prop up the government, fear an arrangement to keep open the Irish border could see Britain trapped in an endless customs union with the EU.
After a whistlestop tour of European capitals on Tuesday, she said on Wednesday she would continue to seek "legal and political assurances" over the temporary nature of the so-called "backstop".
But while EU leaders expressed sympathy for her difficulties, they firmly rejected any attempt to renegotiate a Brexit deal that was only secured last month after 17 months of talks.
German Chancellor Angela Merkel said on Wednesday she still "has hope for an orderly exit" but "no intention to change the exit agreement".
Irish Prime Minister Leo Varadkar had a similar message after a call late Wednesday with European Commission President Jean-Claude Juncker.
His office said the pair "agreed to work to provide reassurance to the UK (but) the agreement cannot be reopened or contradicted".
Enough to cling on
MPs and ministers had rallied round May ahead of the vote, and finance minister Philip Hammond said May's victory would unite the party and "flush out the extremists".
But in a private meeting with MPs before they cast their ballots, she acknowledged the weakness of her position by setting a limit on her own leadership, lawmakers said.
"It is not her intention to lead the party in the 2022 general election," Solicitor General Robert Buckland told the BBC afterwards.
May is now immune to further Conservative confidence votes for a year, but if defeated on her Brexit deal, her government could still face a confidence vote in parliament.
Simon Hix, of the London School of Economics, said Wednesday's result was "enough to cling on, but 117 against her means the Commons arithmetic on Brexit is now even tougher".
Labour's Brexit spokesman Keir Starmer said it showed the "Tory civil war... is far from over", adding: "More trouble ahead."
The delays to the Brexit deal have prompted both the EU and Britain to step up preparations for the potentially disastrous scenario where there is no agreement at all.