A stranger crept into a Brooklyn woman’s apartment as she slept and sexually assaulted her before stealing her wallet, police said.

The sicko slinked through the door of the sleeping 43-year-old woman’s apartment at Middagh and Henry streets in Brooklyn Heights just before 2 a.m. Friday, police said.

He molested her — and then grabbed her wallet, which held an unspecified amount of cash and credit cards, cops said. 

The perv fled and had not been caught by Monday. 

The NYPD released a sketch of the suspect over the weekend, and later a video of him inside a subway station attempting to swipe a MetroCard before jumping the turnstile. 

The bearded man is shown wearing dark clothing, a red cap and carrying a red backpack.