Abstract: In a solid-liquid separation apparatus, which comprises multiple movable members and screws that extend and pass through the movable members without contacting the movable members and which dehydrates sludge while conveying same by means of the rotation of the screws, to apply a wringing action on the sludge and increase sludge dehydration efficiency. (Solution) A first movable unit 41 is configured by linking multiple movable members 4A and 4B as a unit with a linking rod 44, a second movable unit 41A is configured by linking multiple other movable members 4C and 4D as a unit with a linking rod 44A, and the movable members 4A and 4B of the first movable unit 41 and the movable members 4C and 4D of the second movable unit 41A are reciprocated with a phase difference.