West Yorkshire Police Officer PC Pearson said the quad was stopped on Baildon Road yesterday (June 28).
In a twitter post, he put: "If your illegal on a bike....you will be stopped!!!"
In a later post, the police officer defended his actions after the original tweet 'drew some attention'.
He clarified: "This has drawn some attention, so to clarify. Using the NDM we can/will pursue quads and motorcycles.We can/will use contact where needed to avoid a pursuit. We can/will keep you safe and take these vehicles off our streets!