An object of the present disclosure is to provide a fabrication apparatus, a controller, and a method to fabricate a desired three-dimensional object. A fabrication apparatus to fabricate a three-dimensional object, the fabrication apparatus includes a fabricated-object-shape measurement unit (340) to measure a planar shape of a fabrication layer, a displaced-shape prediction unit (350) to predict a displacement amount of a shape of the fabrication layer after a predetermined time has elapsed since fabrication of the fabrication layer, and a correction-vector output unit (370) to correct fabrication data of a next fabrication layer to be fabricated next to the fabrication layer based on planar shape data of the fabrication layer measured by the fabricated-object-shape measurement unit (340) and the displacement amount predicted by the displaced-shape prediction unit (350).