A man has been arrested for speeding, driving with stolen number plates and for running away from the police after a high-speed pursuit in Melbourne's south-east.

Police attempted to stop a silver Audi speeding along the Princes Highway at Narre Warren about 12.15pm on Saturday, but they say the 33-year-old Narre Warren man would not stop.

Police then chased the car, which allegedly reached speeds of more than 130km/h along the Princes Highway.

The man turned on to Hallam-Belgrave Road before the car experienced engine trouble.

He was then seen turning into a nearby service station by an unmarked police car, where he tried to hide his car in a car wash before running away.

However, he was soon caught by the police, and after searching the car, they allegedly found an amount of illicit drugs and cash.

The man is being questioned by police.