The incident occurred Thursday afternoon in Harlem.
The man followed the 21-year-old woman into her building, threatened her with a firearm and forced his way into her apartment.
Police are asking for the public's help in solving the crime.
They've released a video of the suspect using the ATM card.
Anyone with information in regards to this sexual assault is asked to call the NYPD's Crime Stoppers Hotline at 800-577-TIPS.
The public can also submit their tips by logging onto the Crime Stoppers Website at WWW.NYPDCRIMESTOPPERS.COM or texting their tips to 274637(CRIMES) then enter TIP577.