David Miliband has said it is the "settled view" that Gordon Brown will lead Labour into the next election.
The foreign secretary's comments came after Gordon Brown gave an emotional speech to his MPs and peers on Monday night in the wake of Labour's worst election results since 1918.
A rebel attempt to topple the prime minister by secret ballot was ended after the talk, in which he admitted he still had "much to learn about a collective way of leading the party and the government".
Brown said: "Like everyone else I have my strengths and I have my weaknesses. I am going to play to my strengths and address my weaknesses."
Culture secretary Ben Bradshaw said Brown had given the "speech of a lifetime".
Labour rebels claimed to have 50 to 60 names expressing no confidence in Brown's leadership, but after the meeting it was decided not to publish the list, bringing an end to attempts to overthrow the prime minister.
The rebels conceded that they faced opposition from party members who were concerned that a change in leadership would prompt a general election which Labour would lose.
Former home secretary David Blunkett supported the prime minister, saying that rebel MPs should "put up or shut up".
And Miliband told the BBC that the parliamentary Labour Party "has reached a settled view about the leadership".
"The Labour Party does not want a new leader, there is no vacancy, there is no challenger," he said.
"The leading contender, Alan Johnson, is backing the prime minister to the hilt. So that is that."
Dods Parliamentary Communications Ltd