A woman and a man have been arrested after what police say was an ill-fated drive down the wrong side of a busy coastal freeway before they smashed into another car.

Police tried to stop a black Holden Barina on Cranbourne Road, Frankston, just after midnight on Tuesday after they noticed the car had no registration plates.

The driver refused to pull over, and police were forced to pursue the car down Cranbourne Road and onto the Western Port Highway, before calling off the chase at the Peninsula Link when the car began driving on the wrong side of the road.

Two people were eventually arrested by the dog squad at the intersection of Ballarto and Frankston-Dandenong roads after crashing into another car.

A 22-year-old man, who sustained minor injuries from one of the police dogs, was charged with possessing a drug of dependence and resisting police. He was bailed and is expected to appear in the Frankston Magistrates Court on March 24.

An 18-year-old woman is helping police with their inquiries.

The car was impounded under the hoon registration.

Police are also investigating if the items found inside the car are linked to other crimes.