Mr Morris advised visitors to keep apart from the deer by “50 metres at least -probably more when they’re behaving like this – and keep dogs under close control, preferably on a lead, and just admire the deer from a distance”.
He said if people’s behaviour did not improve, it could be “detrimental” to the herd – delaying mating and the birth of calves later in the year.
“That calf’s going to struggle through the winter months and also the hind because the grass is diminishing.”
He said race entrants could transfer to another similar run, which happens every month in the park.
Tatton Park was first declared a deer park by Edward I in 1290 and currently hosts both red and fallow deer.
The popular estate has featured in TV dramas Peaky Blinders, Coronation Street and A Gentleman in Moscow.
Along with neighbouring village Knutsford, it has also inspired fictional locations for the Victorian author Elizabeth Gaskell, who wrote Cranford and Wives and Daughters.
