Recent progress in self-assembly of calixarene derivatives in different dimensions has been reviewed. It mainly includes zero dimension assembly leading to capsules, micelles, dendrimers and molecular boxes, one dimension assembly to nanofibers, nanotubes and two dimension assembly to ultra-thin membranes and assemblies on interfaces, etc. The mechanisms and driving forces, which include hydrogen bonding, metal-ligand, electrostatic, host-guest and hydrophobic interactions, for the assembly and the transitions between assemblies with different dimensions have been discussed. The transitions can be controlled in order to meet the requirements in varies applications of the assembled materials