Two picnic benches and a water butt were damaged at the Linby Heritage Centre in Main Street, Linby, between July 29 and 2nd August 2, 2020.
A bench was set on fire on the park behind Papplewick and Linby Village Hall, Linby Lane, Papplewick, between 7.30pm and 10.30pm on August 8, 2020 and another bench was attacked at Moor Pond Woods, between Papplewick, Hucknall and Linby.
Local Beat Manager Police Constable Chris Whild, of Nottinghamshire Police, said: “This mindless vandalism at parks and open spaces enjoyed by families and our local communities will not be tolerated.
“Those responsible for this damage should be ashamed of their actions and we are urging anyone who saw any suspicious activity in these areas or who has any information about those responsible for these incidents to contact us.
“We are actively visiting these parks and are working with relevant parish councils and Gedling Borough Council to target harden and patrol the affected areas.
“We will take further action where needed but we’re also asking the public to be vigilant and to report any suspicious activity to us by calling Nottinghamshire Police on 101.”
Leader of Gedling Borough Council, Councillor John Clarke said: “We are absolutely appalled at this vandalism in our parks. We will work with the Police to find the people who did this.
“At a time when our parks and open spaces are one of the few things people can go out and enjoy, for someone to do this is, is inexcusable. If anyone saw anything, please contact the Police.”
Anyone who has any information about these incidents is urged to call Nottinghamshire Police on 101, quoting incident number 275 of 12 August 2020.