A Brooklyn man who was freed after spending more than a year in jail on a charge of sex assault based on a bungled photo identification is suing the city and several cops, alleging the case was trumped up.

Michael Gattison says in the Brooklyn federal court filing that an NYPD detective never told a grand jury that the victim in the 2012 incident identified another person as her attacker.

The Brooklyn woman was assaulted in an elevator in November 2012 and fingered a man out of a set of photos shown to her by Detective Niurca Quinones, court papers state.

But when it emerged that the man was a severely disabled mute who was residing in an assisted-living facility at the time of the attack, Quinones showed her new photos — and she identified Gattison.

Gattison, who is seeking unspecified damages, spent more than a year at Rikers Island before a judge dropped the case because Quinones botched the process, court papers state.

“At this point, we don’t have all the facts,” a city Law Department spokesman said.