A walk-out by 10 government MPs last week imperilled Mr Manele's tenure, a year into taking the post.
However, backroom manoeuvring allowed Mr Manele to hold onto a majority in the parliament, prompting opposition forces to withdraw a no-confidence motion due to be debated on Tuesday.
Mr Manele thanked Gordon Darcy Lilo, the Central Honiara MP who moved the no-confidence motion for withdrawing it "in the national interest".
"It means putting our country first," he said.
The week of tumult began last Monday, when Mr Sogavare led a mutiny on the basis of "laissez faire" leadership.
The four-time prime minister sided with Opposition Leader Matthew Wale, Mr Lilo and Peter Kenilorea Jr in a new grouping which claimed to hold a slender majority in the 50-seat parliament.
The move prompted Deputy Prime Minister Bradley Tovosia to resign his post, while remaining supportive of the government.
On the eve of the vote, Mr Manele revealed he had coaxed a number of MPs back into the government tent, which gave him a narrow majority to defeat the looming no-confidence vote.
"Members of the (government) coalition convened this afternoon in a caucus meeting at cabinet," Mr Manele said, as reported by In-depth Solomons.
"They reaffirmed their unity and preparedness to face tomorrow's vote."
One was Claudius Tei'ifi, a Malaita-based MP who cited concerns over the slow pace of work on an Australia-backed tuna plant in his constituency when he left the government.
As the no-confidence motion loomed on Tuesday, police upped security in Honiara, with schools allowed to close in a bid to minimise any impacts from social unrest, which has been an unfortunate feature of previous political crises.
The showdown vote never arrived, leaving Mr Manele in command for now.
Given the shifting sands of allegiances, it remains to be seen how long Mr Manele's government commands a majority.
The departure of Mr Sogavare, who was Mr Manele's party ally and predecessor as prime minister, is particularly significant, with Harry Kuma named as his successor as finance minister.
In a press conference last week, Mr Manele said the exodus of ministers was a "blessing in disguise".
"It is the dawn of a new era to usher in fresh, young and energetic leaders who are willing to take up the challenge to lead our people and country," he said.
Frederick Kologeto has been sworn in as deputy prime minister, while opposition MP defectors Daniel Waneoroa, Derrick Manu'ari and Ricky Fuo'o have also been granted ministries, along with Cathy Nori.
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