Lego said that 60-year-old Bali Padda will take over Jan. 1 from Joergen Vig Knudstorp, who will head up a new entity within the group.
Padda, the current chief operations officer, joined Lego in 2002 in Enfield, Connecticut. Born in India, Padda is a British citizen.
It was not immediately clear why Vig Knudstorp, who in 2004 became the first non-family member to head the group, will be replaced. Under him, the toymaker's annual income has gone from a loss to a notable profit.
In March, the group said its 2015 revenue rose 25 per cent to 35.8 billion kroner, and said some 100 million children played with Lego products or used Lego materials in schools.
The company, based in western Denmark, has more than 18,000 employees around the world and ranks among the world's biggest toymakers.