The invention relates to an apparatus (10) for producing a three-dimensional workpiece, comprising: a carrier (12) adapted to receive material (14) for producing the workpiece; at least one mobile production unit (24), a moving unit (18) that is adapted to move the mobile production unit (24) relative to the carrier (12) so as to position the mobile production unit (24) oppositely to different sections of the carrier (12); a sensing unit that is adapted to generate sensor signals relating to a relative arrangement of the mobile production unit (24) and the carrier (12); and a control unit that is configured to, in addition to the positioning of the mobile production unit (24) via the moving unit (18), provide at least one fine positioning function to compensate for an offset from a desired relative arrangement of the mobile production unit (24) and the carrier (18) based on the sensor signals generated by the sensing unit. The invention further relates to a method for producing a three-dimensional workpiece.