A sleeping subway rider burned to death on an F train in Coney Island Sunday morning after a madman threw a lit match onto her causing her to burst into flames police sources said.

NYPD officers responded to reports of a fire just before 7:30 a.m. at the Coney Island-Stillwell Avenue subway station and found the woman engulfed in fire while sitting on an idling F train, police told The Post.

She was found with liquor bottles surrounding her, though it was not immediately clear if they played any part in the fire, sources said.

Investigators believe that the woman was sleeping when a man sitting across from her got up, walked by her and threw a match on her, engulfing her in fire, sources said.

The man, believed to be in his 20s, then fled the station, the sources added.

Police extinguished the fire and EMS declared the woman dead at the scene, police said.

Service on the F train remained suspended into Sunday afternoon as police investigators continued combing through the crime scene.

Shocked commuters watched in horror as the woman’s body was carted out of the station in a black body bag just after 1 p.m.

“It’s incredible,” the stunned commuter said as the gurney was wheeled out of the station.

An MTA worker told The Post it looked like the woman’s clothes were “burnt off” completely.

“I was just walking by. The cops was there already. I didn’t see her in flames but that’s what I heard. It was out. They shut the lights off [in the car] so nobody could see,” the worker said.

Police were already processing the scene and the woman’s body had been extinguished when the man saw the grim site, which clearly jolted him.

“That s–t is crazy — it’s only three days until Christmas,” he added. That’s messed up.”

Commuters continuously paused in their tracks while transferring trains to take in the horrific scene.

MTA. NYC.