A stranger sexually assaulted a sleeping woman after sneaking into her Brooklyn home in a terrifying attack, police said Tuesday.

The sicko crept into the 43-year-old victim’s Bushwick residence through an open kitchen window around 3:40 a.m. Monday as she slept, authorities and sources said.

He placed a pillow over the woman’s head — as she fought back — and then tied up her wrists, police said. 3

The creep made sexual advances toward the woman and then performed a lewd act on her, according to cops.

He then snatched her cell phone and watch from her bedroom, before running away from the Pilling Street and Evergreen Avenue home, cops said.

The shaken victim was taken to Woodhull Medical Center, where she was listed in stable condition. 3

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The predator remained on the l

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