It started around 12:30am Sunday when the officer tried to pull over the suspect on Green River near Mesa in east Houston.
The suspect kept going until he crashed in northeast Harris County on Abalone Way near Flower Path.
The suspect's vehicle plowed through a woman's fence and hit patio furniture, along with another items. The homeowner said she was asleep when she heard the crash and thought the vehicle might come right into her bedroom.
After the crash, the suspect and the officer got into a fight. Police said the officer feared for his life and fired his weapon.
The suspect was hit in the shoulder, according to officials, and he is expected to survive his injuries.
The officer was not injured, but authorities said another officer responding to the incident hurt his knee.