A method for the production of a converter-carrier body having a metallic honeycomb body made of a plurality of metal layers, especially smooth layers and corrugated layers, the layers having layer ends, such that an outer shape of the honeycomb body is formed by the layer ends. At least one stack is produced having several alternately disposed metal layers that are structured such that channels are formed for a fluid to flow through. The at least one stack is transformed into a honeycomb body having a cylindrical form. The honeycomb body is deformed from the cylindrical form so that an outer shape that deviates from the cylindrical form is produced. Additionally, the invention relates to a corresponding converter-carrier body and a tool for the production thereof.