In a wobble press with a first wobbling die-half and an axially parallel moving second half-die, the wobbling motion is generated by a plurality of hydraulically actuated working pistons cyclically engaging with the wobbling half-die and by means of the elimination of centrifugal forces by a counterweight (G) connected to the wobbling half-die, the precise guiding of the die-halves by a centering disk and the avoidance of a mechanical drive by using a multiple-pistons pump and a hydraulic control system for the working pistons, it is possible to reduce undesirable rotary forces, vibration, friction and heat generation in such a way that substantially higher wobble frequencies and shorter processing times are attained at lower cost while maintaining the geometrical wobble effect owing to the higher wobble frequency, with a simple and rapidly acting control of the extent and form of the wobbling movement even during operation, thus making it possible to preselect the most suitable pressing program.