The introduction of stricter tiers on Wednesday has prompted police to more closely monitor those travelling between tiers.
Residents living in a Tier 3 area should not travel outside of their area unless it is necessary, such as for work or education.
Superintendent Mike Walker, lead for the North Yorkshire Police Covid-19 response said: "I realise there may be some confusion over what is deemed necessary in these circumstances, so I’d like to be clear here; it is neither necessary or acceptable to leave a Tier 3 area and enter a lower tier area for a day trip or to visit a pub or restaurant for a meal.
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"Please also be reminded that your tier restrictions travel with you and police can take enforcement action against you, if you should breach those restrictions.
“North Yorkshire Police will be actively patrolling and will have an increased presence in these border areas and we will be policing the Coronavirus regulations.
"Our safety camera fleet, which are equipped with ANPR, will also be visible along various routes into the region.
“North Yorkshire is well-known for its hospitality and warmth, but right now we have to ask visitors to stay in their own tier area for the health and safety of our most vulnerable residents.
"If you have a visit planned, please reschedule to a time where we are able to give you a proper welcome to our beautiful county.”