An optical module, in particular for microlithography, includes an optical element and a support unit. The optical element has at least one optically utilized area, which defines a rotational axis of symmetry. To support the optical element the support unit has a plurality of more than three support elements. Each of the support elements in the area of a first end is connected with the optical element and in the area of a second end is connected with the support structure. The support unit is designed such that the degree of freedom of rotation of the optical element around the rotational axis of symmetry is restricted, while the position or orientation of the optical element in the other five degrees of freedom is spatially adjustable via the support unit.