Lewes District councillors and MP Norman Baker are calling for an urgent summit to ensure the future of Splash Point in Seaford.
The beauty spot, which is home to a rare kittiwake colony and is a popular tourist attraction, has been closed to the public since February as a result of damage caused by severe winter storms.
But Lewes District Council said it was working closely with Seaford Town Council and the Environment Agency to reopen the tourist attraction as soon as possible.
Mr Baker said: “I welcome the news Lewes District is working towards remedial repairs but unless action is taken to develop and insure this for the future, the problem is only going to get worse.
“Progress to help save Splash Point must be made to enable safe access for local people and to attract visitors to the town.”
Leader of the Liberal Democrats on Lewes District Council, cllr Sarah Osborne (Plumpton, Streat, East Chiltington and St John Without) added: “There are real safety concerns for people wanting to access the area.
“Without agreement from all parties we are unable to progress with future works to save the area for future generations.”
District cllr Sam Adeniji (Ind, Seaford South) said: “Splash Point is a vital tourist attraction and the kittiwakes are spectacular, if its ownership is uncertain then a summit is needed to resolve this issue.
“Not only do we want Splash Point repaired and reopen very soon, we also need a long term plan for its repairs and maintenance as well as to protect against future storms.”
Splash Point has been closed since the district council put up substantial gates and fencing following storms in February and concerns for public safety.
Damage caused by the storms included the path falling away and the wall underneath being undermined.
There has long been some confusion over which body is responsible for the area.
A spokesperson for the district council said: “Lewes District Council has no wish to see access to Splash Point restricted any longer than public safety requires.
“Residents will be aware that to make the pathway safe the damaged areas of concrete need to be repaired as soon as possible.
“We are working closely with the Environment Agency and Seaford Town Council to assess the level of work and agree a plan of action so that the area can be re-opened in time for the summer season so that residents and visitors can enjoy it.”