Police said as Alexander Paul, Jr. crossed the bank parking lot, the robbers used a stolen car they were in as a weapon.
"They hit the individual with the vehicle, knocked him to the ground," Cary Police Department Captain Kenneth Williams said. "The passenger of the suspect's vehicle got out, grabbed the bank deposit bag."
Paul was taken to the hospital, but his injuries were not life-threatening.
Police said the men then dumped the stolen car at apartments just around the corner from the bank and jumped in a Lexus.
"I saw the Lexus vehicle come out, passed a stopped car their tires screaming, smoke, and pulled out into the middle of the intersection," eyewitness Jimmy Barefoot said. "Oncoming traffic had to stop and then, seconds later the motorcycle cop and the two police cruisers in pursuit."
Witnesses said the robbers tried to ditch police by cutting through a shopping center.
"I saw one of the officers go back through the parking lot and around behind the building," Barefoot said.
The suspects later clipped another car and crashed the Lexus on Chapel Hill Road near Weston Parkway as police chased them west on Highway 54.
One of the robbers was ejected from the car. Both suspects were taken to the hospital, but their injuries are not life-threatening.
Police also said the driver of the car the suspects hit was apparently uninjured.
Authorities have not released the names of the suspects or charges at this time.