A Tasmanian man has received a three-year ban from all Cricket Australia matches following a racist graffiti incident on day one of the Test match between Australia and South Africa at Hobart's Bellerive Oval.

The 25-year-old was caught writing a derogatory racial remark targeting South African cricketer Hashim Amla.

It is understood the message was written on the oval's fence, facing the crowd, shortly after 4:00pm on Saturday.

In a statement, a Cricket Australia spokesperson said it takes a zero-tolerance approach to anti-social behaviour and racial vilification.

"Tasmania Police identified the person of interest through CCTV and witnesses in the area. Cricket Australia has issued the person with a three-year ban from any Cricket Australia match, nationally," they said.

"Our message to any fan attending a match is that if you display anti-social behaviour you will be removed and risk being banned from any cricket match across Australia, as well as police action being taken."

The man is expected to appear in court after being charged by summons.