Tasmanian police say they will not give any special treatment to star cricketers Shane Warne, Kevin Pietersen and Michael Slater after a video emerged of them not wearing seatbelts in a moving car during a visit to Hobart.

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The trio featured in the video on Shane Warne's Facebook page while the group was in town for the Australian v South Africa Test match.

Also in the car were driver, former Australian captain and Channel Nine cricket commentator Mark Taylor and his colleague, former Australian wicketkeeper and fellow commentator Ian Healy, who were both wearing seatbelts.

The video, posted on November 14 by Warne, was titled "Ch 9 boys after day 3 in Hobart".

Today, Tasmania Police Acting Inspector Ian Mathewson said the matter was "under investigation".

"We have taken a copy and have officers looking at it."

Acting Inspector Mathewson said there were separate penalties for drivers knowingly ferrying passengers who are not wearing seatbelts, and others for the passengers at fault.

Driver, Mark Taylor faces a $300 fine and three demerit points under Tasmanian law, while Warne, Slater and Pietersen could also be slugged with a $300 fine.

Acting Inspector Mathewson said discretion could be applied in the case of someone who had not committed a violation on Tasmanian roads in the past three months.

He said such offenders might only attract a caution, adding the fate of the star cricketers would be determined on a "case by case basis" and they "won't be treated any different that any other individual".

He said the video "does send the wrong message", especially as police had launched their Stay Safe seatbelt awareness campaign in October.

As of Thursday afternoon, Warne's video had been viewed over 117,000 times and accumulated over 4,800 likes, 1,200 comments and 200 shares.