A system for supporting workpieces comprises a base and a plurality of support members (1), each support member (1) comprising a plate (11) and means for positioning the plate (11) in relation to the base. In at least some of the support members (1). The means for positioning the plate (11) comprise at least three controllably extendable members (13) arranged for determining the position and inclination of the plate (11) in relation to the base, thereby allowing for controlled positioning of the plate (11) in relation to the base and for controlled inclination of the plate (11).