The casualties were taken to hospital after the accident at the Lecht Ski Centre in the Cairngorms, but their injuries are not believed to be life-threatening.
Another 36 skiers were stranded on one of the chairlifts and were rescued by Grampian Fire and Rescue Service.
The incident occurred yesterday afternoon during one of the busiest times of the year, after families flocked to the slopes during the mid-term break for schools.
Three of the injured group were airlifted from the slope at the Lecht Ski Centre near Tomintoul, Aberdeenshire, while the others were taken by ambulance.
They are understood to have back and leg injuries.
A spokeswoman for the Lecht centre said 36 other people who were stranded on the chairlift were rescued after the accident at around 3.25pm today.
The spokeswomansaid: "All the casualties are in a stable condition, three were taken to hospital by helicopter and three by ambulance.
The stricken group were amongst a party of more than 30 others from Leeds University Hiking Club who had travelled to the Highlands for a weekend's climbing.
Police are still trying to piece together what led to the latest fatality in Scotland's mountains.
A family member confirmed the dead climber is Graham Connell, 31, from Castleford, West Yorkshire. According to the relative who spoke about the tragedy on Twitter, he was a former student who had returned to the mountains with the university club.
Five walkers missing overnight have been found by a search and rescue helicopter, the RAF has confirmed.
But HeraldScotland understands the sixth member of the group has died.
His five companions were uninjured and airlifted by RAF Lossiemouth helicopter to Rothiemurchus near Aviemore.
They were discovered near Carn Tarsuinn by Braemar Mountain Rescue Team just after midday, but the dead man was recovered in the Jacob's Ladder area.