Broken glass was found on children's swings and in the gaps of safety netting, and tiles were ripped from the ground and hurled across the green.
Residents have complained about a large group of youths who congregated in the early hours of Saturday allegedly drinking alcohol.
Mike O'Neill, Haslemere Town Council's clerk told The Herald that there had been "major problems" over the weekend.
"At 1am on Friday, 30 or more youths were congregating and drinking alcohol, and the morning after, the contractor employed to clear the area found three 16 year-olds asleep in the middle of the green."
Mr O'Neill said that it was a constant job having to repair the damage caused by vandals, and it was becoming expensive.
"We've just purchased new seats that have to be built like battleships to withstand what the kids do to them," he said. "They cost £200, but then you need someone to fit them. And that's just the minimum expense."
Local man Roger Young was disgusted to find the damage when he took his five year-old grandson to play on the swings over the weekend.
"My daughter doesn't take my grandson down there any more because of the broken glass," he said. "It was everywhere - it was disgusting. You get a council tax bill for £1,000 but nothing gets done," he claimed. "The time has come for the police to do something about it."
Lion Green is traditionally a popular hangout for youngsters but in recent years, elderly residents have complained that they find the large groups of teenagers threatening. The council regularly collects bin bags full of empty alcohol bottles, condoms, and drug-taking paraphernalia.
A spokesman for Surrey Police said: "Leaving broken glass is dangerous but it isn't a crime. We need to catch people doing it."
Police are asking parents of the small minority of young people causing problems to take more interest in what their children are doing, especially in the evening.
"There is always the small minority whch causes problems, committing anti-social behaviour and criminal offences, such as vandalism, smoking, and under-age drinking," the police spokesman continued. "Other common complaints include causing distress to members of the public, particularly elderly people, by behaving in a threatening, intimidating way towards them as they walk past."
Police often respond to reports of anti-social behaviour after midnight where the young people involved are only 12 or 13 years old. If youths are found to be committing anti-social behaviour, letters are sent to their parents or guardians. Support from parents is essential to tackle this issue.
Chief Superintendent Kirkby said: "As police officers we have very little responsibility for the behaviour of these young people and yet local communities expect us to deal with these issues."
"As the summer holidays approach, all we are asking is for parents to take responsibility for their children and show an interest in what they are up to.
A public meeting was held earlier this year to discuss the Lion Green situation. Building youth shelters to give teenagers somewhere to go was suggested, but so far, little progress has been made.