The 66-year-old man has never faced a vote against Dean Nulder, who resigned as minister on Saturday along with Tony Simpson and planned a challenge that many believed was doomed to failure.
Mr Barnett left the meeting with his team behind him – including Mr Nulder and Mr Simpson – saying he was pleased that the issue had been clearly resolved.
He said he suspected that some of the deputies who wanted the spill would still have voted for it if it had happened.
“I think it was a strong, convincing victory,” he said.
“Everyone agreed to stand behind the leadership when we go to that election campaign.
“We must now show society that we are one and we are one.”
Mr Barnett said the party had openly and openly complained, allowing members to get rid of concerns, including some controversial planned privatizations.
“I’m not saying they were resolved, but we are determined to work together to try to win the next election,” he said.
He said he shook hands with Mr. Simpson and Mr. Nalder, who told reporters they were no longer interested in any problems with the leadership but intended to run in the 2017 election.
“Everyone now needs to lick their wounds and take care of it,” said the prime minister.
Mr Barnett said he was accepting some of the criticism, but the policy was moving fast and under a lot of pressure, which required determination.
“Sometimes it can seem a little harsh to people,” he admitted.
“Because I like to get to work and solve problems quickly, maybe people think I’m not listening enough and I accept that.
“People have made it clear that they want to have more opportunities to talk to me.
– I will do my best to make sure that it is so.
Mr Barnett also said he would talk to his staff about accusations previously made by ministers Helen Morton and Murray Cowper that his office was a toxic, mocking and uncontrollable machine.
After a series of opinion polls showing that Labor is in a winning position, Mr Barnett said he was encouraged by the latest figures from polls 51-49, which showed that the March result was “accepted”.
“Probably the bet is 50:50 – six months before that,” he said.
Martin Drum, a senior lecturer in politics at the University of Notre Dame, said tensions in the leadership were easing at the moment, but could resurface if the Liberals again give a bad poll.
“This, of course, harms the prime minister’s chances of being re-elected – there is no doubt about that,” Mr Drum told AAP.
Opposition leader Mark McGowan said it would be difficult to rule if one-third of Liberal MPs were clearly unhappy.
“The only way to change and get rid of this poison and dysfunction is to change the government,” Mr McGowan said.