The force said it received '˜numerous' phone calls from concerned members of theÂ public about the actions of some of those at the gathering.
South Yorkshire Police said a large group of '˜childishÂ people' gathered at Asda's car park and used the roads around the supermarket near to The Dome '˜like a race track'.
The force said cars and members of theÂ public prevented emergency services from gettingÂ through.
A number of vehicle defects were identified on some of theÂ cars at the gathering and one arrest was made.
South Yorkshire Police said the car park was left in an '˜absolutely disgusting' state.
The force added that '˜aÂ zero tolerance approach will be taken at incidents like this'.