Officers responded about 5 p.m. to the 1400 block of G Street after they received a call of shots being fired in the area.
When officers arrived, they heard the shots going off, police said. They walked closer and a suspect started running from them.
Police found the man, as well as a rifle, and arrested him for negligently shooting a weapon.
During the chase, two police dogs were attacked by three pit bulls, police said. One of the police dogs received a couple of stitches in the neck and one of the pit bulls was shot and killed by an officer.
No officers or citizens were injured, police said.