Two men were seen fighting at a pub in St Leonards.
They were throwing punches at each other in the garden of the Hollington Oak pub in Wishing Tree Road at about 2.30pm on Sunday June 15.
Neither man is thought to have suffered serious injuries.
PC Rob Hart said: "There were families and young children around at the time of the violence so the day would be memorable for lots of people for the wrong reasons.
"I would like to speak to anyone who saw or heard any part of what happened. If you have any information at all, please contact us."
Anyone with information should call 101 quoting serial 851 of 15/6, email firstname.lastname@example.org or call the independent charity Crimestoppers anonymously on 0800555111.