The shooting occurred around 1:30 a.m. Monday. According to police, the officer told investigators he was out walking when he was approached by the suspect, who he said was armed and demanded money.
He perceived a threat to his life and opened fire.
Police spokeswoman Johnna Watson says the suspect was in stable condition at the hospital. Neither he nor the officer has been identified.
The agency the officer works for has also not been disclosed.
Watson says investigators recovered a replica firearm at the scene.