A forming tool for making a microstructure in a glass or plastic surface by hot-forming technology, said forming tool comprising a base body, an operative layer applied to a surface on one side of the base body and means for supplying or withdrawing air from another surface on another side of the base body opposite from the one side on which the operative layer is applied, wherein said base body comprises a porous base material with an open pore structure and said operative layer comprises a gas-impermeable material structured according to a negative of the microstructure to be produced by the forming tool in order to form depressions or grooves that extend through the operative layer to the porous base material with the open pore structure.