The airport said it represented a growth of 7.5% year-on-year.
The rise in passengers is connected to increasing capacity and frequency on existing routes, as well as new long haul services starting.
Ken O'Toole, the airport's managing director, called it a "magnificent achievement".
He said: "It's a historic milestone for Manchester Airport and UK aviation, as well as a huge boost for the economy and the north of England."
The figure beats the previous 12-month record set in July 2006 of 22.26m.

Andrew Hasler, 28, was killed in the onslaught at his home in St Ives, Cambridgeshire, on 8 January.
Matthew Sharpe, 40, also pleaded guilty to the attempted murder of his 27-year-old ex-girlfriend Charna Knights, who was saved when a neighbour intervened.
Cambridge Crown Court heard he found Sharpe on top of her, with Mr Hasler lying wounded nearby.
Mr Hesler was repeatedly stabbed and died from a single wound to the heart.
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The neighbour, who had heard "a commotion", managed to pull Sharpe off Ms Knights and kick the knife out of his hand before restraining him.
Sharpe managed to get away but was arrested after jumping into the river in St Ives. Police said he was found to have self-inflicted injuries that required hospital treatment.
Det Insp Lucy Thomson paid tribute to the neighbour, who she said "put his own life at risk in order to help Charna".
"His actions that day ultimately saved her life."
In a statement, Mr Hasler's family described him as a "much-loved son, brother, grandson, nephew and friend".
"Kind-hearted and living his life to the full, he came into the world early and has left us far too soon."
Appearing via video-link from Bedford Prison, Sharpe was told by Judge David Farrell: "There's only one sentence I can impose and that's life imprisonment.
"I will hear submissions to determine the minimum period you must serve."
Sharpe, of Eynesbury, St Neots, is due to be sentenced on 7 April.

John Boreland, a leading member of the Ulster Defence Association (UDA), a paramilitary group, was shot dead outside his home on Sunday night.
Police have called for calm and say they will increase patrols in the area.
Tensions among loyalist paramilitaries and criminality are among a number of lines of inquiry, police said.
But their early assessment is that this was not a sectarian murder.
The 46-year-old father-of-three was shot outside his flat in Sunningdale Gardens as he returned home just before 21:50 BST.
"He had just got out of his car when he was shot at close range a number of times," said the detective leading the investigation, Det Ch Insp Justyn Galloway.
"His injuries were such that he died at the scene."
Police believe a shotgun was used.
"John Boreland was known to police," said Mr Galloway. "He had survived a previous attempt on his life in 2014 and had been warned by police about his safety within the past few months."
The victim was being mourned by his two sons and his daughter, his fiancÃ©e, his sister and his mother and father, said Mr Galloway.
"I have visited the family today and I am sure you will understand that they are completely devastated," he added.
He appealed to the public for help in compiling information about the last 24 hours of Mr Boreland's life.
He also asked for anyone who witnessed vehicles leaving the scene of the shooting - including a motorbike, a silver Renault Megan car and a black Peugeot 307 car - to contact police.
North Belfast MP Nigel Dodds said the murder had "sent shockwaves throughout North Belfast and have cast a dark shadow over the local area".
Mr Dodds, who led a Democratic Unionist Party (DUP) delegation who met police to discuss the attack, welcomed the announcement that more police will be deployed in the area.
"We are committed to ensuring they have every resource necessary at their disposal during the investigation," said the DUP MP.
"We reiterate our calls to those who may have any information surrounding the events of last night to bring it forward to the PSNI as a matter of urgency."
Manchester Airport has broken its all-time yearly passenger record, with more than 22.32m people flying from the site over the last 12 months.
[NEXT_CONCEPT]
A man who launched a brutal stabbing attack in which his ex-girlfriend was seriously injured has admitted murder.
[NEXT_CONCEPT]
A prominent loyalist who was murdered in north Belfast had been warned by police about his safety within the past few months, officers have confirmed.