Randy Jones is charged with the murder of off-duty NYPD cop Adeed Fayaz

The Harlem man accused of fatally shooting off-duty NYPD officer Adeed Fayaz was charged with murder Tuesday hours after the officer was pronounced dead at the hospital, authorities said.

Randy “Popper” Jones, 38, is alleged to have shot the 26-year-old father of two in the head during a robbery gone wrong in East New York on Saturday night after Fayaz and his brother-in-law arranged to buy a Honda Pilot on Facebook, according to a Facebook marketplace, police say and sources said. The couple had $24,000 in cash on them at the time.

Jones lured the pair into a dark alley and reportedly opened fire “almost immediately,” once meeting Fayaz in the temple. The officer’s brother-in-law then drew the gun from Fayaz’s holster and returned fire as Jones fled.

Jones remained on the run until police tracked him down to a Rockland County hotel on Monday — where they took him into custody with Fayaz’s handcuffs.

Police found and impounded the getaway vehicle — a black BMW SUV registered to Jones’ mother — at 129th Street and Park Avenue in Harlem on Sunday. Detectives examined the car Monday in Brooklyn’s 75th Precinct.

On Tuesday, police identified Jones as the suspected shooter and charged him with robbery and murder.

Cops believe he may be behind a similar robbery nearby last month. In that case, on Jan. 13, the crook mugged another man at a nearby address, again using the pretense of selling a car on Facebook Marketplace, only to pull out a gun and demand the victim’s money, sources said. The thief made off with $18,000 in this robbery.

Fayaz, a five-year veteran with New York’s best, was pronounced dead at 3:25 p.m. Tuesday at Brookdale Hospital after being on life support since the shooting, a source said.

Hundreds of police officers, including senior NYPD leaders, lined the streets outside the hospital as officer Fayaz’s body was transported by ambulance to the city coroner’s office.

Police Benevolent Association President Patrick Lynch said Fayaz’s family were at his bedside when he was taken off life support.

“Today is a difficult day. You see cops standing shoulder to shoulder with tears in their eyes,” Lynch said.

“This was a cop who loved his job. Ever since he was a young man, he wanted to be not just a police officer, but a police officer in New York City. He was brutally gunned down in the streets of Brooklyn.”