A concentrator-integrated screw press includes: a continuous concentrator configured to continuously concentrate sludge and discharge the sludge as concentrated sludge, and including a discharge amount equalization unit configured to equalize an amount of concentrated sludge to be discharged per unit time; a positive displacement pump installed consecutively to the concentrator, and configured to continuously transport the concentrated sludge discharged from the concentrator; and a screw press installed consecutively to a discharge side of the positive displacement pump, and configured to compress and dewater the concentrated sludge.