A transfer device 41 provided particularly for multistation presses 1 has a holding device 46, 47 which is carried by several rods 53, 54, 55; 83, 84, 85 and which can be swivelled in space and positioned by means of the rods 53, 54, 55; 83, 84, 85. The rods 53, 54, 55; 83, 84, 85 are preferably connected with linear driving devices 61, 62, 63; 86, 87, 88 which therefore jointly act upon the holding device 46, 47. In the case of an embodiment having six degrees of positioning freedom, three of the rods 53, 54, 55; 83, 84, 85 are applied to a first hinge point 49 of the holding device 46, 47. By means of their other ends, these rods 83, 84, 85 define a triangle. Of the remaining three rods 53, 54, 55, two 53, 54 are applied to another hinge point 56 and a third 55 is applied to a hinge point 57 situated away therefrom which again defines a triangle together with the other two hinge points 49, 56. In addition to the simple workpiece transfer, such a transfer device 41 permits complicated positioning tasks.