Tasmanian politicians have thrown their support behind a nude swim event which was cancelled when police threatened to arrest participants.

More than 200 people registered to take part in the Dark MOFO winter festival's nude swim, planned for Hobart's River Derwent in July.

The festival's curator Leigh Carmichael says he received advice from police that participants could be arrested if the event went ahead.

"They said firstly they couldn't support the event, and I guess they've got no choice," he said.

"They can't be supporting any illegal activities so I don't think we can ask for any exceptions and that if the event was to proceed they'll have to take action."

The Premier Lara Giddings says she supports the idea of the nude swim - under certain conditions.

"Just as long as I'm not involved in it," Ms Giddings said.

"I couldn't think of anything worse for me personally."

The Greens leader Nick McKim shared the sentiment.

"I think it's a bit of a storm in a tea cup or a storm in the Derwent if you like," he said.

"Nude swimming's fine by me but I don't practice it myself."

Hobart's Lord Mayor Damon Thomas says he would be happy to strip to show support for the event, but says "I would get into training first."

Other states like Victoria and New South Wales have allowed public nudity for art events such as Spencer Tunick's photo shoot at the Sydney Opera House.

Tasmania Police has defended its stance.

"No, we're not the fun police. We are what I'd call the contemporary police," Inspector Glen Woolley says.

"This is all about what do the public expect of their police service and they expect police to ensure public decency.

"Whilst other people and other councils and other jurisdictions may have their own beliefs, here in Tasmania the fact is we are ensuring nobody is offended by this behaviour.

"So this time we have withdrawn our support for this event."

The Police Minister David O'Byrne called on the parties to get together and find a way to allow the nude swim to go ahead.

"The Hobart City Council and Tasmania Police have both been strong supporters of important arts and cultural events," he said.

"I'm sure there's a balanced and responsible outcome to be found here. I've contacted the Council, Tasmania Police and the organisers of Dark MOFO this afternoon. I've encouraged them to resume discussions and seek a solution that allows the event to proceed while remaining sensitive to community concerns."