A French national won the international competition for the first time.
Sophie Seibel-Traonouïl is replacing Ina Delcourt, who has retired after 21 years in the role.
The French luxury firm reiterated its warning that first-half results cannot be projected for the full year.
The sites will each employ around 250 craftspeople specialized in leather goods.
The leather goods maker sees underlying strength in high-end markets despite global volatility.
Elisabeth Ponsolle des Portes, president and chief executive officer of Comité Colbert, suggested LVMH should bid for the crystal maker.