The driver, who also had no insurance or driving license, was stopped on the M62 motorway at junction 26 in Bradford.
A West Yorkshire Police traffic officer tweeted to say: Assisted colleagues on the #M62 at #J26 Bradford with a vehicle stop.
"2 arrested on suspicion of possession of a Class A drug, on their way home from #LeedsFest.
"Driver had no licence or insurance. Recovery arranged by @WYP_FCH."