Police were called to a disturbance involving a customer and a security guard at a Tesco Express store.
Officers arrived at the shop at Whitefriars in Gravel Walk, Canterbury following the altercation between the two men.
It is understood allegations have been reported by both men to police.
A force spokesman said: “An altercation took place between a man and a member of staff at a shop in Gravel Walk, Canterbury, at about 3.55pm on Saturday.
“Kent Police is in contact with those involved and enquiries are ongoing to establish whether any criminal offences were committed.”