A process for manufacturing a honeycomb body having a multiplicity of at least partly structured metal sheets defining a multiplicity of channels through which a fluid can flow includes stacking at least partly structured metal sheets into a plurality of bundles of metal sheets having ends. Each bundle is folded about a respective bending line defining a folded edge of each bundle and the folded edges are simultaneously or subsequently moved toward a central region. The ends of the folded bundles are entwined in the same direction, such as by rotating the central region and contracting a form surrounding the bundles. The entwined bundles are encased in a prefabricated jacket by pushing the entwined bundles into the prefabricated jacket or surrounding the entwined bundles with the prefabricated jacket.