A continuous feeding process and device for waste flexible polymer material; wherein the process continuously feeds waste flexible polymer material into a subsequent pyrolysis apparatus following compression, cutting and dispersion; the waste flexible polymer material is pre-treated during compression, cutting and dispersion to achieve continuous sealing feeding, while pyrolysis oil gas preheats and self-lubricates the device; the device used includes a feeding apparatus, a material dispersion apparatus and a screw feeder; the material is compressed, cut and dispersed in the feeding apparatus and the material dispersion apparatus, and then falls into the screw feeder, being preheated and thermally sealed by the pyrolysis oil-gas in the screw feeder; by using such a process, waste flexible polymer material from various sources may be continuously fed for pyrolysis, fully using the temperature of an oil-gas generated in a pyrolysis machine for preheating and device lubrication.