“I can imagine that some of these people who have done this are people who used to play on the park when they were youngsters and now they are depriving other young children.
Councillor David Greenhalgh said he is “disgusted”.
A plastic roundabout, shaped like a tyre, was melted in the attack, in Little Brow Park and damage was also caused to the park’s flooring.
Temporary fencing has been placed around the piece of equipment.
A spokesman for Bolton Council said: “We will be carrying out repairs as soon as practically possible.”
Councillor Alan Wilkinson said what had happened was an act of “mindless vandalism”.
A 44-year-old resident of Queens Avenue, said he noticed the damage when he went to take his daughter to the park.