The present application provides a flexible display panel and a flexible display device containing the flexible display panel. The flexible display panel includes: a flexible substrate, a light-emitting element layer located on a side of the flexible substrate, a packaging layer located on a side of the light-emitting element layer away from the flexible substrate, and a conduction adhering layer located on a side of the flexible substrate away from the packaging layer; the conduction adhering layer being an adhesive layer having electrical conductivity, the conduction adhering layer being connected with an external potential. The conduction adhering layer has a double-side adhering function, and can shield external electromagnetic signal interference to the circuit in the light-emitting element layer, thereby alleviating the picture scintillation phenomenon caused by the external electromagnetic signal interference, improving display effect of the flexible display device, and reducing the module thickness of the flexible display device.