A method and apparatus for producing histological sections by means of a microtome are suggested. A histological section of predefined thickness is produced with a microtome from a block comprising a tissue sample. A carrier material is applied with an application apparatus onto the block prior to before production of the histological section. To ensure that the histological sections do not roll up, and to enable improved downline processing of the histological sections as compared with a carrier material embodied in the form of an endless strip and that the carrier material is cut out prior to application to a size and/or a shape that corresponds substantially to the cross-sectional area of the block; and that the cut-out carrier material is then applied onto the block. The suggested apparatus is designed to apply the carrier material onto a histological section to be prepared by a microtome.