At least one of the rounds struck a patrol car, injuring an officer in the arm, Smith said.
The suspect was taken into custody and a handgun recovered from the scene, Smith said. He told reporters at the scene it was not immediately known whether officers returned fire.
The wounded officer and the first shooting victim were transported to an area hospital, Smith said. The officer was in stable condition; the initial victim was described as being in good condition when he left the scene, Smith said.
It was not immediately clear if the officer was struck by a bullet or shrapnel, or some type of broken glass or piece from the patrol car, Smith said. Officials expected more information after he was finished with X-rays, he added.
"He is in good spirits," the chief wrote. "Please keep him in your thoughts as he recovers."
Smith said more than a dozen robbery-homicide detectives were canvassing the two shooting scenes for witnesses and evidence. The perimeter had downsized in the hours following the incidents, but Smith said he expected the immediate areas surrounding the scenes to be closed well into the afternoon.
Smith said investigators were looking into what prompted the initial shooting as well as the relationship between the suspect and first victim.