In　the　preservation　of　old　movies,　there　will　be　various　degradations,　such　as　scratches　and　dust.　Although　there　have　been　many　studies　on　denoising,　those　methods　have　not　been　effective　in　the　restoration　of　old　movies.　In　this　paper,　we　propose　a　novel　old　film　speckle　noise　removal　method,　which　includes　speckle　noise　detection　and　an　inpainting　based　speckle　noise　reduction　procedures.　The　spatiotemporal　information　is　employed　in　speckle　noise　detection.　Meanwhile,　a　deep　image　prior　based　deep　auto-encoder-decoder　network　is　designed　to　remove　the　speckle　noise.　Experiment　results　show　that　the　proposed　method　can　achieve　better　results　compared　with　other　methods.