Investigators say the suspect followed the 92-year-old victim into his apartment on West 18th Street in Chelsea Monday night.
The robber pushed the man to the ground and stole a bag containing a bible and a pair of glasses.
The victim suffered an injured hip in the fall.
Police are offering a $22,000 reward for information leading to an arrest.
The suspect is only described as a man in his 30s.
Anyone with information in regards to this incident is asked to call the NYPD's Crime Stoppers Hotline at 800-577-TIPS.