The surveillance video shows the man, wearing jeans, a black jacket and a hat, walking down Mulberry Street around 3:30 a.m. Authorities say he somehow got into what should have been a locked courtyard outside the apartment building, climbed up the fire escape and entered the 42-year-old woman's home.
The victim told police the man showed a knife, told her to be quiet and raped her as her little girl lay beside her.
Police said the child wasn't hurt.
The victim told police the suspect left through the front door after the attack. She was taken to the hospital.
Neighbors were jarred by the attack.