Two men died after the gunman opened fire in the store in Thornton, Colorado on Wednesday night.
Police are saying this is not an active shooter situation, but it is an active crime scene.
Police say a man suspected of fatally shooting three people inside a Colorado Walmart has a minor criminal record.
Police spotted the vehicle and followed it, eventually stopping Ostrem in his Mitsubishi Mirage and taking him into custody.
Police have now confirmed that two adult males have died as a result of the shooting while one adult female has been transported to a nearby hospital.
Thornton Police Department spokesman Victor Aliva said there was no indication as to motive at this stage.
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Police were called yesterday evening to a shopping centre in Thornton and arrived after the gunfire ended.
Shoppers at the Walmart in Thornton say they heard gunshots coming from inside the store.
They say there has been a shooting with multiple injuries.
The Walmart is located about 10 miles north of Denver.
Thornton police say 47-year-old Scott Ostrem was arrested Thursday morning, about 14 hours after he fled the store in a vehicle.
Investigators have not released any details about the circumstances of the shooting or the condition of the injured woman.
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