Police say the suspect broke into the apartment through the fire escape last Friday night.
He rummaged around the room with what appeared to be a screw driver in his right hand, but then left when he heard the toddler's father.
Police say just minutes later, he broke into another apartment nearby and stole a backpack, jewelry, and a bicycle.
The person wanted for questioning was last seen wearing a dark colored knit cap, a gray hooded sweater, a dark colored coat and he had on a dark colored backpack.