Officers were called to the incident in Low Ousegate at 7.45pm on Saturday (July 26).
North Yorkshire Police said four arrests were made for “various offences” including affray and assault of an emergency worker.
Three of the four people have since been bailed with conditions which prevent them from entering York city centre, the force said.
Senior commander for York, Superintendent Ed Haywood-Noble, said: “We are committed to tackling all types of unacceptable and criminal behaviour in our city centre at night.
“York has a vibrant hospitality scene. The vast majority of people are using the city’s bars without issue or incident and those who are intent on committing crime in York are not welcome.”
Anyone with information about the incident who has not yet come forward is asked to contact North Yorkshire Police on 101 quoting 12250138659.
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