Separation membrane module with hollow fiber and a method of making the same

A separation membrane module having hollow fibers, wherein a plurality of hollow fibers are heated and melted to bond and thermally fuse the external surfaces of the hollow fibers with each other; and a method of manufacturing a separation membrane module having hollow fibers whereby the ends of a plurality of hollow fibers are inserted into a sheath, the sheath and the hollow fibers are tightly bonded together to form spaces, and the sheath portion into which hollow fibers have been inserted is heated up to the temperature at which the surfaces of the hollow fibers melt, with the spaces thus formed kept in a decompressed state, so that the exterior surfaces of the hollow fibers are thermally fused and integrated together.