Covalent organic framework materials (COFs) are a class of organic porous materials with large specific surface area, high porosity and crystallinity. Owning to their special nature of functional versatility and easy modification, COFs can be designed to be efficient catalysts either embed functional active sites into the skeleton through a "top-down" strategy, or load metal nanoparticles into the framework via a post-modification approach. These studies have laid the foundation for the extension of COF's application in heterogeneous and other catalytic fields. The synthetic strategy and application of COF in different types of catalytic reactions are reviewed in this paper. Moreover, the current research situation of COF catalyst is summarized and prospected. Finally, the remaining challenges in this field are also indicated.