An apparatus for supporting at least one component includes a supporting device having a first and at least one second support element, which are mounted movably relative to each other, and a shape-defining device with a surface contour which fits, at least in some regions, a contour of a supporting section of the component. The supporting device can be placed against the shape-defining device, and, by contact of the at least two support elements with the surface contour of the shape-defining device, the first support element can be moved into a defined position relative to the at least second support element, in which position the at least two support elements reproduce the contour of the supporting section, at least in some regions.