The present disclosure discloses a flexible display panel and a flexible display device. The flexible display panel includes a first flexible substrate, a buffer layer, a display function layer, and a conduction function layer. The buffer layer and the display function layer are placed on a first side of the first flexible substrate. The conduction function layer is placed between the first flexible substrate and the display function layer, and is connected to a constant potential through a through-hole or by an end portion of the conduction function layer. By arranging the conduction function layer and connecting to the constant potential, an external interference signal from a back side of the substrate can be effectively shielded, and the conduction function layer can also serve as a blocking layer.