At around 4.25pm, officers began following a grey Audi A4 that failed to stop for them on the north-bound carriageway near Catterick.
The vehicle then continued north through road-works before leaving the motorway at Scotch Corner and then returned to the A1, heading back on the south-bound carriageway.
The vehicle continued south at speeds over 100mph, weaving in and out of traffic and onto the hard shoulder.
With the assistance of the National Police Air Service, officers stopped the vehicle on the exit slip road of the A1 near Boston Spa. Two occupants from the vehicle, a man aged 31 and a woman aged 22, both from Rotherham, were arrested at the scene. They remain in police custody.
Police recovered a large quantity of cannabis from the vehicle. A three-year-old child was also inside the vehicle.
A number of motorists will have witnessed the suspect vehicle’s manner of driving and officers are appealing to them to come forward including any that were hit by the vehicle.
Some motorists have come forward already and officers are trying to trace others. Anyone who has not yet spoken to the police is urged to call North Yorkshire Police on 101, select option 2 and ask for Harrogate Serious Crime Team.
Please quote reference number 12160086012 when calling.
No-one was injured.