The Calverley Grounds bandstand was opened in 1926
More than 2,600 people have signed a petition calling for a bandstand which is due to demolished to be replaced.
Last year Tunbridge Wells Borough Council announced plans to pull down the structure in Calverley Park because it was too expensive to maintain.
The bandstand, which was opened in 1926, was badly damaged during World War II and is currently fenced off for safety reasons.
Campaigners said outdoor performances were part of the town's tradition.
Keith Reynolds, chairman of the East Peckham Silver Band, said: "We know it's in a sorry condition but a replacement would be lovely.
"There's nothing finer than to sit in the sun on a warm sunny day with the family and to listen to free music played in the open air."
The bandstand was opened in 1926, alongside a 1,200-seat pavilion which was destroyed in 1940. The base is all that remains of the original structure.
A report by the council previously stated: "The structure as it now stands is not an original feature of the park, has no heritage value and is not listed. The only original feature is the concrete base.
"The upper part of the structure is an amalgam of metalwork, almost certainly derived from metal parts of the bombed pavilion.
"Given the nature of its construction, it not surprising that it is neither feasible nor cost-effective to repair it."