National park bosses in the Yorkshire Dales said most weekend visitors to the area adhered to social distancing and pleas to show respect.
The Yorkshire Dales National Park Authority said only one of its car parks approached being filled to capacity.
The authority said the park was busier after the relaxation of lockdown travel restrictions for those taking exercise in England.
Chairman Carl Lis said: “To everyone who followed the government’s social-distancing guidelines and showed respect to the land, the community and each other, I want to say thank you.
“It was great to see the vast majority of people taking this on board.
“Of course, there have been one or two exceptions and I would like to thank North Yorkshire and Cumbria police for their support in dealing with these.”
Neil Heseltine, deputy chairman of the Yorkshire Dales National Park Authority, said: “Having taken the decision to open our car parks and toilets, the only car park to near capacity was in my home village of Malham.
“It was good to see the social distancing guidelines being followed and heartening to see a younger profile of visitor alongside first-time visitors, and key workers coming out to clear their heads and get some well earned exercise.
The authority’s chief executive David Butterworth said: “We recognise this weekend is only the start and we would urge everyone to continue to:
“Respect the land – exercise within your limitations to keep pressure off local resources, and know the countryside code. Take care to respect the plant and wildlife which has thrived during lockdown.
“Respect the community – we recognise that many in the local community are among some of the most vulnerable groups of people. Many still need to self-isolate. While walking, please keep a safe distance from homes, schools, and farms.
“Respect each other – stay two metres apart, keep within your family or household groups, and avoid gathering in Dales towns and villages where many of the shops and services remain closed. Finally, be kind and respect one another, whether visitor or local.”
Tired Resident
19 May 2020What a joke. These people are detached from reality. What about the hundreds of motorbikes screaming around in groups? What about all the idiot riders hanging about in groups in Hawes, Settle and Kirkby Lonsdale? If these people think that is "responsible" they aren't fit to hold their posts. The whole National Park is being spoiled by motorcyclists using it as a racetrack.