The car was spotted on Sunday evening around 22:15.
It was seen driving through the valley in the direction of St Mary and St Ouen from Bel Royal.
Police said that it had veered across the road “on several occasions”, causing vehicles travelling in the opposite direction to have to swerve out of the way.
They’re now asking anyone who saw or has information on the ‘dangerous driving’ incident is asked to contact them on 612612 or Crimstoppers anonymously on 0800 555111.