A masked predator raped a woman in a brutal attack after striking her with a gun as she delivered a package in Staten Island this week, cops and sources said.

The attacker — a “total stranger” to the 37-year-old victim — approached her as she made the delivery at Dongan Hills Avenue and Jefferson Street around 6 p.m. Wednesday, according to authorities and law enforcement sources.

He then hit her with the weapon and proceeded to rape her, police said.

The victim went to a local hospital, where she is listed in stable condition, authorities said. It was not immediately clear whether she was affiliated with a specific delivery company.

By then, the pervert had already fled the scene, police said.

The NYPD released a sketch of the suspect, shown with a mask covering half his face and a hoodie pulled up over his head.

Anyone with information on his whereabouts is asked to call the NYPD’s Sex Crimes Hotline at 1-212-267-7273 or 646-610-7272, the Crime Stoppers Hotline at 1-800-577-TIPS (8477) or, for Spanish, 1-888-57-PISTA (74782).

The public can also submit their tips by logging onto the Crime Stoppers website at https://crimestoppers.nypdonline.org/, or on X @NYPDTips.