Forming machine for forging, in particular stretch-forging, metal workpieces which have been heated and/or are in a flowable condition, comprising a) at least two forming tools (4A, 4B), b) at least one driving device for driving at least one of the forming tools forward in an approach motion of the forming tools toward one another or rearward in a return motion of the forming tools away from one another, c) wherein the driving device comprises at least one eccentric element (22A, 22B) and at least one hydraulic drive element (11A, 11B), d) wherein the at least one hydraulic drive element (11A, 11B) is coupled hydraulically directly or indirectly to the eccentric element (22A, 22B) in such a way that an eccentric motion of the eccentric element produces a working motion of the hydraulic drive element by way of a hydraulic medium, and e) wherein the or each hydraulic drive element (11A, 11B) is coupled to at least one of the forming tools (4A, 4B) and, in the working motion thereof, drives this at least one forming tool, f) wherein at least part of the hydraulic drive element (11A, 11B) is arranged in a hydraulic chamber (13A, 13B) filled with hydraulic medium and divides the hydraulic chamber (13A, 13B) into a front subchamber (15A, 15B) and a rear subchamber (14A, 14B), g) wherein the rear subchamber (15A, 15B) of each hydraulic chamber is assigned a hydraulic setting device (64A, 64B, 54A, 54B, 34A, 34B) for the purpose of setting the end position of the drive element (11A, 11B) in the working motion by setting the supplied volume or pressure of the hydraulic medium in the rear subchamber (14A, 14B), wherein the hydraulic setting device has a hydraulic pump (64A, 64B) and a port (34A, 34B) on the rear subchamber (14A, 14B) and an associated hydraulic connection (44A, 44B) of the hydraulic pump (64A, 64B) to the port (34A, 34B), characterized in that h) the hydraulic pump (64A, 64B) is a hydraulic servopump and has a position-controlled servomotor (54A, 54B), which holds the pump rotor or piston firmly in position, and i) in that the end position of the drive element (11A or 11B) shifts forward if the hydraulic pump (64A or 64B) keeps more hydraulic medium in the associated rear subchamber (14A or 14B) by building up a corresponding hydraulic pressure. a) at least two forming tools (4A, 4B), b) at least one driving device for driving at least one of the forming tools forward in an approach motion of the forming tools toward one another or rearward in a return motion of the forming tools away from one another, c) wherein the driving device comprises at least one eccentric element (22A, 22B) and at least one hydraulic drive element (11A, 11B), d) wherein the at least one hydraulic drive element (11A, 11B) is coupled hydraulically directly or indirectly to the eccentric element (22A, 22B) in such a way that an eccentric motion of the eccentric element produces a working motion of the hydraulic drive element by way of a hydraulic medium, and e) wherein the or each hydraulic drive element (11A, 11B) is coupled to at least one of the forming tools (4A, 4B) and, in the working motion thereof, drives this at least one forming tool, f) wherein at least part of the hydraulic drive element (11A, 11B) is arranged in a hydraulic chamber (13A, 13B) filled with hydraulic medium and divides the hydraulic chamber (13A, 13B) into a front subchamber (15A, 15B) and a rear subchamber (14A, 14B), g) wherein the rear subchamber (15A, 15B) of each hydraulic chamber is assigned a hydraulic setting device (64A, 64B, 54A, 54B, 34A, 34B) for the purpose of setting the end position of the drive element (11A, 11B) in the working motion by setting the supplied volume or pressure of the hydraulic medium in the rear subchamber (14A, 14B), wherein the hydraulic setting device has a hydraulic pump (64A, 64B) and a port (34A, 34B) on the rear subchamber (14A, 14B) and an associated hydraulic connection (44A, 44B) of the hydraulic pump (64A, 64B) to the port (34A, 34B), characterized in that h) the hydraulic pump (64A, 64B) is a hydraulic servopump and has a position-controlled servomotor (54A, 54B), which holds the pump rotor or piston firmly in position, and i) in that the end position of the drive element (11A or 11B) shifts forward if the hydraulic pump (64A or 64B) keeps more hydraulic medium in the associated rear subchamber (14A or 14B) by building up a corresponding hydraulic pressure.