The crash is now under criminal investigation and officers involved face an internal investigation.
Queensland Police were on patrol in Bonogin at about 5pm on Friday when they saw a black Mercedes SUV being driven dangerously.
Police flashed warning lights at the car but the driver didn't stop and fled the scene.
Queensland Police said they did not give chase.
Shortly after, they were alerted by a driver to a collision near the failed intercept and found the black Mercedes had collided with a silver Mercedes hatchback.
The crash had forced the hatchback from the road and into a power pole, which had fallen.
As police, other emergency services and bystanders responded, a fire broke out in the black Mercedes.
The driver, a 46-year-old Bonogin woman, was freed from the wreckage and was later hospitalised in a stable condition with an arm injury.
The three occupants of the hatchback, two women and a man, were trapped. Two were freed and given first aid.
However, all three occupants of the hatchback died at the scene.
Forensic police will investigate the collision while the force's internal watchdog - the Ethical Standards Command - will also look into the incident.
Witnesses and anyone with dashcam or CCTV footage of the crash or moments leading up to it are being urged to come forward.
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