QUEENSLAND police have launched an internal investigation after officers drove over a woman sleeping in a Townsville park.

Their vehicle was driving off-road in Central Park on Dean Street when it ran over a 40-year-old indigenous woman who was lying on the ground about 2.55pm AEST yesterday.

A police spokeswoman said at the time the officers were responding to a call when their vehicle accidentally struck the woman.

The officers administered first aid on the woman, who is understood to have suffered leg injuries, before she was taken to Townsville General Hospital.

The driver of the police vehicle was breath tested and returned a negative blood alcohol reading.

An officer from the QPS Ethical Standards Command is on his way Townsville, and the Crime and Misconduct Commission has been informed of the incident.