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This article studies descent theory in the setting of Berkovich spaces. Wegive sufficient conditions for a given fibered category over the category ofk-affinoid algebras to be a stack for the Berkovich analogue of thefaithfully-flat topology. We give some applications to the faithfully flatdescent of morphisms and show that some descent data are always effective. Wealso show that the property of being algebraic for a morphism between theanalytification of two schemes is a local property for the faithfully-flattopology.

Descente fid\`element plate et alg\'ebrisation en g\'eom\'etrie de Berkovich