The horrific assault took place around 3:40 a.m. near East 92nd Street and First Avenue, when police said the attacker somehow got into the apartment and attacked the victim.
The woman was taken to Lenox Hill Hospital where she was listed in stable condition, the NYPD said.
On Sunday, police released surveillance video and a photo of the suspected rapist leaving the scene.
He is seen wearing blue jeans, a white shirt with a design on the front and a jacket with a camouflage pattern.
Cops are asking anyone with information about the accused rapist to contact NYPD Crime Stoppers at 1-800-577-TIPS or at crimestopers.nypdonline.org.