It is the couple's third official engagement since their wedding in April and their first joint humanitarian mission. The trip, on which they will be accompanied by the Crown Prince and Princess of Denmark, is sure to be one close to their hearts due to the focus on East Africa.
The Duke and Duchess of Cambridge became engaged during a visit to Lake Rutundu in Mount Kenya last year and in 2001 William spent more than three months of his gap year learning about Africa's wildlife and environment while visiting a number of countries.
Unicef's emergency supply centre in Copenhagen is a worldwide co-ordination centre for nutrition and other emergency supplies reaching children in crisis around the world.
UK residents can text LIFE to 70800 to make a £10 donation to Unicef's East Africa appeal.