The catalytic systems based on supramolecular assemblies have became a hot research topic. The assemblies exhibit unique catalytic properties due to their specific structural characteristics, such as regular arrangement of component, high specific surface area. In this review, the catalytic mechanism and advantages of the supramolecular assemblies in different dimensions are reviewed, and their future developments are also prospected.

Contents
1 Introduction
2 The catalytic applications of zero dimension assemblies
2.1 Micelle based catalytic systems
2.2 Vesicle based catalytic systems
2.3 Nanoparticle based catalytic systems
3 The catalytic applications of one dimension assemblies
3.1 Supramolecular polymer based catalytic systems
3.2 Nanofiber based catalytic systems
3.3 Nanotube based catalytic systems
4 The catalytic applications of two dimension assemblies
5 The catalytic applications of three dimension assemblies
5.1 Gel based catalytic systems
5.2 Framework based catalytic systems
6 Conclusion and outlook