Two men stranded for nearly 24 hours with their sports car in deep snow at Mount Field, about 75 kilometres north-west of Hobart, have been rescued.

An attempt to rescue them earlier on Monday by helicopter was abandoned because of poor weather.

A search and rescue team with a road contractor moved snow and fallen trees off the Lake Dobson Road to make their way to the men on Monday evening.

Sergeant Paul Steane said the men were then able to drive back down to the Mt Field visitors' centre.

"They were in good spirits," he said.

He said the pair drove up from Hobart on Sunday afternoon.

"There had certainly been a lot of trees down on the road since they went up," he said.

"Once the road was cleared they were able to drive slowly down the hill.

"It does illustrate the point that when road warnings and weather warnings are out people need to take heed because if you get stuck somewhere there's no mobile phone coverage it could be a long lonely couple of days.

"They were well and truly stuck in the snow, it was a little sports car, not really suitable for a steep snowy road."

Sergeant Steane was reluctant to criticise the pair's lack of preparedness.

"Oh well, you meet a lot of strange people in this world," he said.

The rescue helicopter crew also discovered another car stuck in snow, but said the occupants were well-prepared and were happy to stay put.

Icy roads predicted, more snow coming

A cold front brought heavy falls to the south of the state early on Monday morning, including in Hobart, and snow is still falling in the north.

John Bally from the Bureau of Meteorology warned very low temperatures overnight would make roads icy.

"It'll still snow, but up around the 600 to 700-metre mark, so really only in the mountains," he said.

Inspector Williams said another cold front was expected early on Wednesday morning.

"It doesn't look quite as cold as the one we have seen, but it doesn't look far off," he said.

"As opposed to [snow at] sea level that we saw with this event, widespread across the state, we are looking at the snow line dropping down again tomorrow night into Wednesday morning as showers extend once again state-wide."

Snow reached sea level for the first time since 2005, with Hobart's beaches and central business district receiving a dusting.

Launceston in the state's north saw snow despite its clear and sunny forecast, as did Burnie in the north-west.

Bureau of Meteorology spokesman Tristan Oakley said the state's west, where snow had also reached sea level, "could be quite bad for most of the day, into the evening".

Snowfalls in Hobart are rare — the last time the CBD experienced a "dump of snow" was on July 25, 1986 when the Tasman Bridge was closed.

Starting the day with a snowy surf

Tabbi Fasnacht, 17, from Hobart, looks out over the water from a snow-covered Clifton Beach, east of Hobart. ( Supplied: Pat Fasnacht‎ )

Seventeen-year-old surfer Tabbi Fasnacht joined her father Pat for a surf at a snowy Clifton Beach, on Hobart's Eastern Shore on Monday morning.

Tabbi said it was a surf she would never forget.

"This morning was actually relatively warm in the water compared to outside," she said.

"I still got a mega brain freeze from duck-diving but I was wearing booties so my toes and feet were fine.

"Dad and I were the only ones out to begin with, the sky was like a really pretty colour — there were heaps of pinks and oranges — and, yeah, it was just a really content moment. It was a good time."

Closer to Hobart, various people told the ABC they were overjoyed at the snow, although Bronwyn worried it would take its toll on her vegetables.

"My poor veggies," she said.

"I think they are all snap frozen this morning — my lettuce and my coriander. But it's so beautiful. We're very happy.

"I don't have to work today, so I am more than happy to sit in front of the fire and let [my partner] go and earn the money."

Angus moved to Hobart from Brisbane two weeks ago and said the snow was lovely to see.

"I must admit it is probably only the second or third time I have seen snow in my life, so it is a little bit new for me. I have about 17 layers on," he said.

"It's quite cold but I love it — usually it's boardies and a T-shirt this time of year.

"[I] plan to sit in front of the fire and have a cup of coffee and I might go back to bed at this point."

Another resident, Joanna, said being outdoors was mild compared to recent temperatures in Hobart.

"I am glad it's here because we heard it was forecast and so we are going to enjoy it while it's here," she said.

"This isn't cold — there's no wind chill factor."

Roads and schools shut due to snowfall

The snow caused slippery conditions on the state's road, keeping police on their toes.

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Tasmania Police Inspector Gary Williams said resources were at times stretched thin.

"[On Monday] morning we were dealing with 19 accidents at one time," he said.

"Thankfully none of those accidents were deemed serious."

Inspector Williams said many of the accidents were a result of people not driving to the conditions.

"A lot of the accidents are based around ... the lack of braking distances, slippery conditions on the roads, and people are just not predicting the effect that those conditions have on their driving," he said.

"Make sure that you drive to the conditions.

"Your braking distances will be greater and you need to leave a lot of reaction time between you and other vehicles."

For updates to road closures across the state go to the Tasmania Police Facebook page.

Snow forced the closure of 36 state schools in southern Tasmania, with many teachers unable to drive to work.

Judy Travers from the Department of Education said a couple of thousand students were affected.

She said the department was not contacted by any parents who needed alternative care for children.

"Our schools were well prepared on Friday because the weather bureau was able to give us early warning about the snow, so most schools alerted their communities and the children that this might be the reality Monday morning, so they were pretty well prepared early," she said.

Parents have been advised to check school websites and social media for further information.