An apparatus for producing or forming surfaces at the cutter blade head portion of a cutter blade formed of hardened steel. The hardened steel blades, provided with a cutter blade head portion, are contemplated to be used in the cutter head of a gear cutting machine. In order to form the surfaces of the cutter blade head in a relatively short amount of time, without impermissible heating of the cutter blade steel, there is formed during a first step a pre-profile of the blade head by means of a cutting-off device containing a cutting-off grinding disk. During a further step the preformed surfaces of the pre-profile are ground into cutter blade surfaces at the heretofore conventionally used grinding machine. The apparatus for performing the method contains a rotatable hearing or support unit, adjustable into different positions, in which there is mounted the cutting-off grinding disk.