An unmarked police car has ploughed into a house in the Perth suburb of Dianella while pursuing an allegedly stolen vehicle.

The police car crashed into the house in Verbena Court after detectives spotted the suspect vehicle on Mirrabooka Avenue about 12:45pm.

"They followed the vehicle through local streets, and on Verbena Avenue, the police vehicle lost control and hit a set of gates at the front of a house," a police spokeswoman said.

"The police vehicle then travelled into the house, causing damage to the lounge room."

A woman who was inside the house at the time of the crash was treated for shock before being taken to Royal Perth Hospital for further treatment.

"Three officers, who are from Mirrabooka Detectives office, were in the vehicle and were uninjured," the spokeswoman said.

"The stolen vehicle left the area during the incident."

Police said an investigation would be carried out into the chase and accident.

In an unrelated accident in the same suburb just minutes earlier, three people were injured when a station wagon trying to evade police sped through an intersection and crashed into other cars.

The driver of the station wagon was hurt after crashing while trying to evade police. ( ABC News: Charlotte Hamlyn )

It is understood the female driver of the vehicle was attempting to avoid a random breath test being carried out by police on motorbikes when it went through the intersection at Chesterfield Road and Yirrigan Drive.

The driver was treated by paramedics before being taken away by police along with a male passenger.

Two women from the other vehicles were also treated at the scene.