Senior Constable Ian Henderson said the men were travelling to Cardrona skifield about 11am when their vehicle "appeared" to have slipped on a patch of icy mud, about 5km up the unsealed mountain road.
"[The road] was quite slick and their two-wheel-drive car, which doesn't have as much traction as your four-wheel-drive vehicle, slid off the road," Snr Const Henderson said.
The car had rolled about 10m down a section of the mountain Snr Const Henderson described as "not too steep at all".
The men were lucky, he said.
"If they had gone off [the road] at the previous corner, then they would still be going," he said, referring to the men sliding further, down a steeper slope.
The men, one aged 29 and the other 26, climbed out of their damaged vehicle and walked back up to the access road to hail a passing car, Snr Const Henderson said.
Cardrona skifield staff had rushed to the men's aid, he said.
Cardrona operations manager Gary Husband said it was the first time a vehicle had rolled off the skifield's access road this year.
The road was checked every morning and was graded and gritted "as and when needed", he said.
Motorists needed to be mindful driving conditions could alter in a "very short time", as changing temperatures brought either a thaw or freeze to the road.
"It only takes a moment of inattention for an accident to happen," he said.
Driving conditions yesterday were fine and sunny near the top of Cardrona's 13km access road, although further down the mountain there was low cloud and valley fog, he said.
The two men were not injured and neither ambulance nor fire rescue crews were needed, Snr Const Henderson said.
Although the men's car was "flattened" by the crash, the pair had appeared not too shaken by the incident.
"I think they were annoyed about missing out on their afternoon of snowboarding.
"They said they'd be back tomorrow," Snr Const Henderson said.
