Police in Bridlington spotted a vehicle that had been reported as stolen driving on the A614 through Bessingby shortly before midday, and was stopped on the Driffield bypass.
A 40-year-old man was arrested on suspicion of burglary, criminal damage, breach of a restraining order, five road traffic offences including drug driving, and as being wanted on recall to prison.
A second man was arrested on suspicion of burglary and theft of a motor vehicle.
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The two men currently remain in police custody.
In a separate incident, a 25-year-old man was stopped on the A614 and was arrested on suspicion of drug driving shortly before 1pm. He has been released under investigation.
A Humberside Police spokesperson said: "We will continue to take action against those using our roads for criminality."