Henri Cordier or Henry Cordier (1856 - 7 June 1877) was a French mountaineer. In his short two-year career, he became the first Frenchman to reach the level of the English members of the Alpine Club, in the silver age of alpinism in the second half of the 19th century, which was dominated by the development of mountaineering in the Alps. With some of the Alpine Club's mountain guides and mountaineers, he led significant first ascents in the Mont Blanc massif and in the Dauphiné Alps (the Massif des Écrins).