The former creative director of Balenciaga, who was widely rumoured to be taking on the coveted position, will begin his new role immediately, reports Vogue.com.
Ghesquière said of the news: "Louis Vuitton has always incarnated for me the symbol of ultimate luxury, innovation and exploration.
"I am very honoured of the mission that I am entrusted with, and proud to join the history of this great maison. We share common values and a vision."
Vuitton said Ghesquière would bring “a modern creative vision to the house’s women’s collections, building on the values of refinement, savoir faire and extreme quality.”
The French designer takes over from Marc Jacobs, who was at the helm of the luxury company for 16 years. Jacobs was responsible for turning the brand from a luggage and accessories emporium into one of the best-selling luxury labels in the world.
42-year-old Ghesquière is to show his first collection for the French luxury firm next March.