BFG and Wolf Hall star Mr Rylance, who was born in Ashford, said: “My great-grandfather was a resident of Dover. He was the captain of a cross-Channel ferry.
“On one occasion he even sailed the king across the channel. My grandmother grew up in Dover.
“I am sure they would have supported the campaign to save the Goodwin Sands from dredging for all the very good reasons that the campaign has argued. I support it too.
“It is particularly important today that we honour our past and ancestors as part of what we truly are now.
“We are an island and our coast and shore is as important an aspect of our landscape as any green field or hill. Would they dredge an ancient graveyard or battlefield?
“Our historical relationship with ships and the wide oceans of the world is a vital part of our culture and our connection to so many other different cultures.”