Device for supporting a workpiece to be machined by a machine tool, comprising - at least one support element which can be brought into contact with the workpiece to be supported, - at least one first positioning unit for positioning the at least one support element in at least one first direction, - at least one second positioning unit for positioning the at least one support element in at least one second direction, the first direction and the second direction being perpendicular to each other, at least one of first or second positioning units (14, 16) being designed in such a way that the position of the at least one support element is adjustable in the direction (X, Z) assigned to the respective positioning unit (14, 16) by elastic deformation of at least one elastically deformable section, wherein the first positioning unit has at least one spring means and at least one adjusting screw, wherein, in order to adjust the position of the at least one support element, the at least one elastically deformable portion of the at least one first positioning unit is displaceable by means of the at least one adjusting screw against the pretensioning force or in the direction of the pretensioning force of the at least one spring means, wherein the at least one first positioning unit has at least one elastically deformable element which has a stationary portion and a portion which is displaceable relative to the stationary portion, the stationary portion and the relatively displaceable portion of the at least one elastically deformable element of the first positioning unit being connected to one another via at least one bending element (32a, 32b, 32c), characterized in that the at least one bending element (32a, 32b, 32c) in the initial position extends obliquely to the direction of the pretensioning force of the spring element. - at least one support element which can be brought into contact with the workpiece to be supported, - at least one first positioning unit for positioning the at least one support element in at least one first direction, - at least one second positioning unit for positioning the at least one support element in at least one second direction, the first direction and the second direction being perpendicular to each other, at least one of first or second positioning units (14, 16) being designed in such a way that the position of the at least one support element is adjustable in the direction (X, Z) assigned to the respective positioning unit (14, 16) by elastic deformation of at least one elastically deformable section, wherein the first positioning unit has at least one spring means and at least one adjusting screw, wherein, in order to adjust the position of the at least one support element, the at least one elastically deformable portion of the at least one first positioning unit is displaceable by means of the at least one adjusting screw against the pretensioning force or in the direction of the pretensioning force of the at least one spring means, wherein the at least one first positioning unit has at least one elastically deformable element which has a stationary portion and a portion which is displaceable relative to the stationary portion, the stationary portion and the relatively displaceable portion of the at least one elastically deformable element of the first positioning unit being connected to one another via at least one bending element (32a, 32b, 32c), characterized in that the at least one bending element (32a, 32b, 32c) in the initial position extends obliquely to the direction of the pretensioning force of the spring element. at least one of first or second positioning units (14, 16) being designed in such a way that the position of the at least one support element is adjustable in the direction (X, Z) assigned to the respective positioning unit (14, 16) by elastic deformation of at least one elastically deformable section, wherein the first positioning unit has at least one spring means and at least one adjusting screw, wherein, in order to adjust the position of the at least one support element, the at least one elastically deformable portion of the at least one first positioning unit is displaceable by means of the at least one adjusting screw against the pretensioning force or in the direction of the pretensioning force of the at least one spring means, wherein the at least one first positioning unit has at least one elastically deformable element which has a stationary portion and a portion which is displaceable relative to the stationary portion, the stationary portion and the relatively displaceable portion of the at least one elastically deformable element of the first positioning unit being connected to one another via at least one bending element (32a, 32b, 32c), characterized in that the at least one bending element (32a, 32b, 32c) in the initial position extends obliquely to the direction of the pretensioning force of the spring element.