"They moved a short distance to a relatively safe area nearby. However, because of the avalanche danger they were unable to safely move from there."
At the time, weather conditions were poor, with high winds and blowing snow affecting visibility.
Weather conditions thwarted two attempts to get an Alpine Rescue Team to the pair.
"The climbers were advised to dig a snow cave and shelter overnight, ahead of a further rescue attempt on Wednesday," said the police spokesperson.
"The two climbers were experienced in the mountains and well-equipped for a night in a snow cave."
A third rescue attempt kicked off on Wednesday despite "impossible" weather conditions.
"The helicopter was able to land the Alpine Rescue Team 1.2km away and 300m below the climbers' position," said the spokesperson.
"The Alpine Rescue Team made their way through difficult conditions to the climbers' location and made contact with them shortly after 10.45am."
Soon after, the weather cleared enough for a helicopter to reach the party and extract all back to Queenstown.
"The climbers were shaken by the event and felt that there was no way they could have made it off the mountain unassisted, due to the dangerous avalanche conditions," said police.
Queenstown Alpine Club rescue coordinator Russell Tisley said the pair - "a couple of young guys" - had been out climbing in the area for about three days.
"They'd been camping down in the valley and the weather basically came in... and that sort of tracks out through a lot of new snow up into the range.
"On the way out, they triggered a good-sized avalanche."
He said the climbers were in a white out and could not see where they were going.
"They decided to retreat to back to where they'd been camped the night before, which was a nice safe spot, and that's when they decided that they needed help getting out because basically they couldn't extract themselves.
"They were surrounded by steep avalanche terrain and in a whiteout so yeah, they needed some help."
Tilsley said the pair did everything right when they knew they were in trouble.
He said they were "quite experienced" but still "a little bit shaken" after their ordeal.
"They caught in a little bit of an avalanche that you know, that shook them up but.. they were they were in pretty good spirits.
"They're a little bit shaken up, but happy to be back... they just wanted to have a good shower, a hot shower and get some dry clothes and get a good meal in them."