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Police were called out after a man was assaulted and knocked to the floor.
Officers attended the High Street in Strood at 1.15pm on Saturday after a report that a man and woman had been assaulted by a man.
Their injuries are described as minor.
The suspect left the scene towards Station Road.
Anyone who witnessed the incident is asked to contact Kent Police by calling 01634 792209 quoting reference 13-0595.
Alternatively witnesses can contact Kent Crimestoppers anonymously on 0800 555 111.