Catenation based on homochiral metal - organic nanocages or nanotubes is realized in this work for the first time. A flexible enantiopure ligand is employed to assemble metal ions, with the structure-directing effect of an auxiliary ligand, a triangular-prism-like nano cage, and a nanotube successfully built. Further 0D -> 3D catenation is achieved by interlocking the nanocages, and 1D -> 3D catenation based on nanotubes is also presented. This work reveals extraordinary catenating architectures from molecular cages and tubes.