The incident happened just before 10 a.m. on May 24 in the Fort Greene section of Brooklyn.
Authorities say the man entered a 24-year-old woman's basement apartment through an open window. While he was there, the woman came home and startled him.
He escaped through the same window and was caught on video fleeing the scene.
No injuries were reported.
The suspect is described as a black male with a cast on his right foot and a cane.
Anyone with information in regards to this burglary is asked to call the NYPD's Crime Stoppers Hotline at 800-577-TIPS.