The family-of-four, including 10-month-old Princess Charlotte, posed for official photographs on their private holiday in the French Alps.
The pictures show their first holiday as a family of four, and according to royal officials it's the first time either of the children have played in the snow.
The spokesperson added; 'It was very special and fun short holiday for the family, and they are grateful that John Stillwell was able to capture the moment so well. The Duke and Duchess hope people enjoy the photos'.
Prince William, George, Charlotte and Kate
Both William and Kate have enjoyed skiing since they were children and want George and Charlotte to be good at the sport too.
Prince Charles and Princess Diana taught William to ski at the resort of Lech in Austria and Klosters, Switzerland.
Recently, the Duke and Duchess have enjoyed breaks in the upmarket ski destinations of Meribel in the Trois Vallees ski resort, France.
The couple enjoy a snowball fight
On their last trip they were accompained by Kate's parents, Carole and Mike Middleton.
Skiing has played an important part in their relationship, as the first time they were reported as an official couple was when they were photographed together in Klosters in 2004.
We can't believe how much Princess Charlotte has grown when we look back through her baby album
The 33-year-old heir to the throne is known for his love of sports and it seems Kate, 34, is not afraid of competition either, with pictures of the pair enjoying a spontaneous snowball fight during the photoshoot.
These are some of the only pictures of the children that have not been taken by the Duchess herself - recruiting royal photographer John Stillwell to take the holiday photos instead.
John has long been a favoured choice for the royals. He was responsible for many of the newborn pictures outside the Lido wing at St Mary's hospital.
Princess Diana with William and Harry, 1991