In order to provide a polyethylene sealant film having great strength and good heat sealability, despite being thin, a multilayer polyethylene sealant film is produced by a method including coextruding and stretching a sealant layer formed of a low density polyethylene resin or linear low density polyethylene resin and an orientation layer including a polyethylene resin having a melting point higher than the sealant layer, by an inflation method at a temperature higher than the melting point of the sealant layer and higher than the Vicat softening temperature, but lower than the melting point of the orientation layer.