The migrant man accused of sexually assaulting a 7-year-old girl at a Queens hotel was released from police custody — after investigators determined at least one relative coached the child the girl to make up the story in an attempt to get a larger room at the shelter, a senior law enforcement source told The Post Friday.

The 34-year-old man was cut loose after investigators determined that the family rehearsed the sick story with the “victim” and her twin sister — hoping to incriminate their fellow resident so they could take over his room at the Hotel Mint JFK Airport in Far Rockaway, according to the source.

The initial police report indicated that the sisters were playing in the hallway around 9:30 p.m. Wednesday when a man convinced them to follow him to a room on the second floor, according to sources.

Police were told that the man then placed a knife against the neck of one of the girls and touched her private area.

When the twins’ mother knocked on the door, the man jumped out the window, according to the initial account. 

The man accused of the assault then walked back into the building through the lobby, where he got into a fight with the youngsters’ older brother, sources initially said.

Cops broke up the brawl and cuffed the then-suspected child molester, according to the initial narrative.

The twins told the same story both to patrol officers and detectives from the Special Victims Unit — who found that their account seemed overly rehearsed, the source said.

The suspect denied the allegations — prompting investigators to track his phone, determining he was elsewhere when the alleged incident took place, according to the insider.

Video surveillance indicated that the suspect left the shelter around 5:30 a.m. Wednesday and didn’t return until nearly 11:20 p.m. — about two hours after the alleged crime, the source said.

The footage reportedly shows no one entering or leaving the room during that period.

An interview with the man’s wife also corroborates those findings, sources said. 

The man was then released from custody, the insider said. 

Sources confirmed Friday that a fight did in fact ensue between the accused man and a relative of the twins over the room assignment. 

A hotel employee, who was not on duty when the incident occurred, said the accused migrant had been there for 20 days and “never makes an issue.” The other family moved in after he did, he added.

“I don’t know why you should accuse someone. That’s really bad to do that to a child but to accuse someone of that, I don’t know why you should accuse someone,” the worker said.

A young married couple from Venezuela told The Post Thursday that they heard some commotion the night of the incident, but did not know what was going on.

“Last night there [was] shouting, fighting, outside … a man was shouting at another man in front of [the lobby] door but we [went] inside and locked the door,” the woman told The Post, adding that there were “many children” staying there and she didn’t know the people involved.

The couple was previously staying at a different shelter, but relocated when the rowdy conditions got out of hand — though their new location hasn’t been much of an improvement, the husband said.

“It is wild here,” the man said as he pointed inside. “At the shelter before, there [was] trouble every night. We moved here because I complained about the shelter. It was not safe. I could not sleep. This is wild and there is trouble. I do not let [my wife] walk without me.”

The hotel shelters asylum seekers and also accepts bookings from customers, according to a worker who answered the phone there Thursday. 

Stuart Warburton, 52, his wife, Kim, 31, and mother, Maureen, 80, all from the UK, said they had been staying at the hotel for two weeks at a rate of $244 a night — and found the conditions appalling. 

“We booked it on Expedia and it just said JFK Airport Hotel, the Mint Hotel JFK Airport,” Warburton told The Post.

“We thought it was an airport hotel! It is absolutely disgusting in there,” he continued. “And every night between midnight and 1, you hear all these children screaming, and then the parents push them out into the hallways and lock the doors and they leave the kids out running around and screaming and going crazy unattended in the hallways all night.

“The conditions are terrible,” he added. “I wouldn’t let my dog live here in these conditions.”