A chucking apparatus for a workpiece with honeycomb structure includes a table that can be supplied with vacuum and a clamping plate which can be placed on the table and which accommodates the workpiece in the region of an already profiled surface determined by the face ends of the honeycombs, whose receiving surface, which corresponds to the profiled surface of the workpiece, is provided with suction openings to the table. In order to provide advantageous chucking conditions, the clamping plate has an open-cell structure.