Vandals have destroyed swings at the play area in Ryelands Park.
Lancaster City Council said the toddler swing has been damaged by dogs, something they say is a common and costly occurrence with swings.
The basket was also stolen from the large swing structure and found at the top of the park.
This will be resurrected and the toddler swing replaced soon.
Coun David Smith, cabinet member with responsibility for play areas and open spaces, said: “It is with regret that we hear of another spate of vandalism in one of our popular parks.
“The park is a tremendous local asset enjoyed by a large number of local families throughout the year and a facility everyone should look after and take pride in.
“It’s a great shame that a minority get a thrill out of ruining it for everyone else and an insult to the hard work and dedication of those who have worked so tirelessly over the last few years including the local community to make significant improvements to the park.
“We would urge everyone to be our eyes and ears and contact the police if they have any information about those responsible for acts of vandalism in any of our local parks so that they can be caught.”
The play park was installed last summer, thanks to a grant of £44,320 from Unitied Utilities to local charity Groundwork, which attracted further funding from other organisations.
It was later vandalised just days after it opened to the public, when vandals pulled up and threw around turf and damaged rubber matting on the park.