Members of the public have complained riders using Hayling Island beach could cause an accident.
An equine charity says it has lost more than £300,000 after its fundraising efforts were wiped out by the coronavirus outbreak.
Bransby Horses, which re-homes and cares for hundreds of horses and donkeys, said the loss came on top of the £200,000 hit it took when its Bransby site was hit by flooding in November.
Chief Executive Jo Snell said it had been a tough time for the charity and its supporters.
"We rely heavily on public support, and don't receive any government funding, so it has hit us hard," she said.
However, the charity, which has been closed since 23 March, has today reopened it's doors to the public.
Ms Snell said: "We are so looking forward to welcoming back visitors to our Bransby site.
“There will be some changes to the normal ways of working for our employees and visitors, as is to be expected.
"And though petting of our animal residents won’t be allowed, visitors can still enjoy watching our equines at a safe distance whilst walking in the miles of beautiful countryside we have here."
BBC News Online
Hot on the heels of the announcement that Prime Minister Boris Johnson's fiancee Carrie Symonds has given birth to a son, there's more baby news, this time from Whipsnade Zoo.
An endangered Przewalski horse has had a foal and the zoo said it was a "real cause for celebration" as the species was once classified as extinct in the wild.
It was reintroduced to its native habitat in Mongolia after conservation breeding efforts by organisations including the Bedfordshire zoo.
The female foal was born on 13 April, however the public have obviously been unable to see it due to the zoo being closed during lockdown.
Mark Holden from the zoo said the Przewalski was "considered to be the last remaining truly wild horse in the world".
"It’s really sad that we can’t share our excitement with visitors right now, but the birth of this endangered foal is another example of the incredibly important work we do; and why we need support," he said.