The city admitted that an NYPD captain and deputy inspector were at the hospital when their officers allegedly bullied a teen who accused two detectives of rape, according to court documents obtained by The Post.

Capt. Sean Finn and Deputy Inspector Michael Kletzel were on hand at Maimonides Medical Center in Brooklyn the night of Sept. 15, 2017, when Anna Chambers, accompanied by her mother, underwent rape testing.

A city Law Department attorney insisted Finn and Kletzel’s roles were “limited” — but Chambers’ lawyer said it further proves the cops’ efforts to intimidate the now-19-year-old.

“They had a deputy inspector and a captain there,” said attorney Michael David. “There was a high-level effort to bully her.”

Finn and Kletzel were identified, along with nine others, in a filing last Thursday in Chambers’ lawsuit over the alleged rape.

She claims she was raped in the back of a police van by Brooklyn South narcotics Detectives Richard Hall and Eddie Martins after she was pulled over in Calvert Vaux Park in Coney Island.

Also at the hospital that night were five police officers — from the 60th and 66th precincts — as well as two lieutenants from the 60th and 66th precincts, an Internal Affairs Bureau sergeant and a detective from NYPD’s Fiscal Affairs unit.

Only the detective and IAB sergeant are listed as having “interviewed” Chambers.

Finn’s “involvement is limited to responding to the hospital as the duty captain,” while ­Kletzel’s “involvement was limited to responding to the hospital as duty inspector,” the filing says.

He claims one of the cops asked her, “Didn’t you make complaints about cops before?”

Now, David said they’ll all be deposed.

“I don’t know how high up this went,” he said.

Hall and Martins have pleaded not guilty to a 50-count indictment and resigned from the department in November. Both have said the sex was consensual.

Lawyers for Hall and Martins said Chambers told five prosecutors and IAB investigators during an interview in December that “no one” at the hospital tried to stymie her complaint and that she was never threatened.

“It is completely false that officers showed up at the hospital to silence her,” said Peter Guadgnino, who represents Hall.

Martins’ lawyer Mark Bederow said the cops’ response at the hospital was not unusual.

“This plaintiff’s lawyer continues to make sensational claims that have no basis in fact and do little more than prejudice Martins’ and Hall’s right to a fair trial,” said Bederow. “A young woman claimed she was raped by police officers, so of course several officers from the relevant precincts quickly responded.”

Additional reporting by Lia­ ­Eustachewich