The officer had pulled over a vehicle in the 2000 block of 62nd Avenue at 11:43 p.m.
There were at least two suspects in the vehicle believed to be connected to an armed robbery in the area shortly before the traffic stop, Officer Johnna Watson said.
After they were pulled over, one of the passengers ran from the vehicle, Watson said.
Watson said the officer ran after the fleeing suspect, and realized that he was in possession of a firearm.
The officer shot and wounded the man, who Watson said did not fire at the officer.
The other suspect fled in a vehicle and remains at large, Watson said.
The injured suspect, a man in his 20s, was treated at the scene and transported to a local hospital and is in stable condition, Watson said.
His injuries are not considered life-threatening, police said.
Watson said that police are investigating the incident and more details would be revealed as they become available.
Shortly after 1 a.m. Sunday morning, a shooting death was reported about a block away, in the 2100 block of Seminary Avenue. Watson said that the injured suspect is not believed to be involved in that shooting.