The man accused of raping a Harlem woman in Central Park will not be charged with a crime because of inconsistencies in the victim’s story, police sources said.

The 22-year-old victim initially told cops she met her attacker aboard an Uptown A train on Tuesday.

The two decided to grab Starbucks in Times Square followed by a meal at Shake Shack on West 44th Street and Eighth Avenue, police sources said.

She told cops they entered the park at West 72nd Street and Central Park West, and walked past Strawberry Fields — when her attacker started to grope her. She then said she was raped near the Loeb Boathouse.

But she couldn’t remember where in the park she was raped, and could only recall being “near the water,” a source said.

Police were able to track down the man, whose nickname is “Golden,” because the victim provided them with the man’s cell phone number.

He sat with detectives from Manhattan’s Special Victim’s Unit on Tuesday night and was later released a free man.