A filtration dehydration apparatus, which comprises: a filter, composed of a filtration layer and an absorption layer while allowing the filtration layer that is orientated facing toward the absorption layer to be a first side, and allowing a surface of the absorption layer that is orientated facing toward the filtration layer to be a second side; a supporting structure, for supporting and fixedly securing the filter; a solid waste collector, for collecting solid object left on the first side; and an extrusion unit, for pressing the absorption layer to squeeze out water in the absorption layer; wherein the first side is provided for a solid-liquid mixture to be placed thereon so as to allow the liquid containing in the solid-liquid mixture to flow into the absorption layer through the filtration layer while enabling solid objects in the solid-liquid mixture to be filtered out and thus left on the first side.