An abrasive body (13) for a grinding disk (11), a grinding wheel or the like for grinding optical glass, precious and natural stones (marble) or the like has a base body (16) made of a sintered hard material upon which a diamond coating (18) is applied by a CVD process to serve as the abrasive layer. An intermediate precious metal layer (19) may also be provided between the base body (16) and the diamond coating (18).