Officers have been given the power to direct people to leave an area after reports of antisocial behaviour (ASB).
Over the Bank Holiday weekend (May 23-25) Balderton Parish Council in New Balderton near Newark, closed Coronation Street playing fields on the grounds of public safety.
But since it has reopened, police say there has been reports of "groups of people gathering, being abusive to passers-by, and attacking wildlife".
As a result, a dispersal order is in place in the Balderton Lakes and Coronation Street Playing Fields areas.
The order came into effect at midday yesterday on June 2 and is valid for 48 hours.
It gives Police Constables and Police Community Support Officers (PCSOs) the powers to direct people to leave the area, who they reasonably suspect is likely to contribute to ASB.
That person can be directed to leave for the remainder of the exclusion period.
If they do return to the area, they commit a criminal offence and can be arrested.
The order will then be reviewed to consider its effectiveness
Neighbourhood Inspector, Heather Sutton, said: "We've been monitoring the issues in this area for a while and working with our partners at the Parish Council and Nottingham County Council who have had Youth Workers down at the site to engage with young people.
"So far we've spoken with a few groups and explained what the order is, all of which have been compliant and moved on when asked.
"We'll continue to listen to our local residents, review the activity in the area and do everything we can to protect the area and keep people safe.
"We welcome anyone with any concerns to call us on 101."