It follows a similar bid earlier this month for the EU-defined distinction by cucumber body the Lea Valley Growers Association.
"The Kent nut, sold in the green, has its own special flavour," said Kentish Cobnuts Association president John Cannon. "But because our members are not just from Kent, we would be looking at a wider designation."
Membership secretary Martin Adam said of the current season: "It has been pretty good overall for our 135 members, with some very good, other less so. On the whole, those selling to supermarkets have done okay."
Cannon added: "There is a fair amount of new planting going on, much of it in huge rows, which are easier for mechanisation and yield around 1.5t/ha."
He said the health value of the nuts, particularly for pregnant women, was only now becoming more widely appreciated.