Theresa May has said she wants to lead the Conservatives into the next general election, telling the BBC she intends to remain in power “for the long term”.
Speaking in Japan, the PM said her job was not just to deliver Brexit but to define the UK’s place in the world and also to tackle domestic “injustices”.
Some reports have suggested she could stand down in 2019 after EU withdrawal.
Boris Johnson said Mrs May had his “undivided backing” to lead the party into another general election campaign.
The foreign secretary, speaking on a visit to Nigeria, added that the prime minister could “certainly” win an absolute majority.
She has been under pressure after losing her Commons majority in a snap election called earlier this year.
The next general election is not scheduled to take place until May 2022, by which point Mrs May – if she stayed in Downing Street – would have been PM for nearly six years.
In the immediate aftermath of her party’s failure to win June’s general election outright, several MPs called on her to consider her position while former Chancellor George Osborne, who she sacked and is now a newspaper editor, said she was a “dead woman walking”.
She has sought to consolidate her position by negotiating a governing agreement with the Democratic Unionists and overhauling the way Downing Street works, replacing key advisers.
But this has not stopped speculation about how long she might remain in No 10 and about potential successors, although one cabinet minister earlier this summer blamed such talk on too much “warm prosecco”.
Asked whether she wanted to lead her party into another general election, whenever that takes place, the prime minister told the BBC’s Ben Wright in Kyoto that that was her intention.
“Yes, I’m here for the long term. What me and my government are about is not just delivering on Brexit but delivering a brighter future for the UK.
“It is my intention to deliver not just a good Brexit deal for the UK but to ensure ‘global Britain’ can take its place in the world, trading around the world and we deal with those injustices domestically that we need to do to ensure that strong, more global but also fairer Britain for the future.”
The prime minister faces a crucial few months with a number of tests of her authority within the party, including her second conference speech as party leader in October and key Brexit votes in the Commons.
Newspapers reports over the weekend claimed that the prime minister had told MPs that she intended to stand down in the summer of 2019 to give her successor ample time to bed in before the next election.
No 10 dismissed the reports as “peak silly season”.
Boris pledges support
Mr Johnson, who received public backing from Mrs May after recent criticism of his performance, confirmed the prime minister has his full support.
“I’ve made it clear I’m giving my undivided backing to Theresa May,” said the foreign secretary.
“We need to get Brexit done.
“She’s ideally placed to deliver a great outcome for our country and then deliver what we all want to see, which is this exciting agenda of global Britain.
“I think she gets it. She really wants to deliver it. I’m here to support her.”
Asked if the prime minister could win an absolute majority at a further general election, the foreign secretary confirmed “I certainly think she could, yes.”
The UK is due to leave the EU in March 2019 and supporters of Mrs May have said leadership speculation only serves to undermine attempts to secure the best possible terms of exit.
On the second day of her trip to Japan, Mrs May will hold official talks with her counterpart Shinzo Abe and emphasise the growing security links between the two countries.