The Houston Police Department said the incident happened in the 3800 block of Little York Road at about 3:15 a.m.
Police said someone flagged down the officer, saying a black SUV in the area had been stolen.
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The officer later saw the black vehicle crash underneath the Eastex Freeway at Little York, according to police.
Police said the officer saw the SUV driver take off, running into the shopping center parking lot.
HPD said the officer caught up to the man, who then pulled out a pistol.
The officer struggled with the suspect when the gun went off multiple times, hitting the suspect in the arm and wrist, HPD said.
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As this was happening, police said a security guard working in the shopping center heard the shots and went over to help, giving verbal commands for the suspect to show his hands. The suspect complied, and the officer was able to get him on the ground.
The suspect was taken to the hospital and is expected to be OK. The officer was not hurt.
HPD said the SUV the suspect was driving was not listed as a stolen vehicle.
Officials said they are still working to figure out what happened before the crash, as there were bullet holes in the SUV.
The investigation is still underway, and charges are still pending.
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