The theft happened at 7:54 a.m. Sunday at the Wawa located at 1515 North DuPont Parkway.
According to police, the 34-year-old victim arrived at the store in a 1998 Jeep Grand Cherokee. However, when he exited the store he found that the vehicle, which was left running and unlocked, was missing.
Surveillance video captured the suspect exit the store, enter the vehicle, and drive off.
The vehicle has not been recovered.
The suspect is described as a bearded white male with an average build in his late 20's to early 30's.
Anyone with information is asked to contact State Police at 302-834-2620 extension 548, or by calling Delaware Crime Stoppers at 1-800-TIP-3333.