Covalent organic frameworks (COFs) are defined as highly porous and crystalline polymers, constructed and connected via covalent bonds, extending along two or three dimensions. This chapter introduces examples of COFs for application in heterogeneous catalysts. R. Banerjee and coworkers demonstrated that the introduction of a large number of nitrogen and oxygen atoms into the skeleton of a COF would reinforce its stability when metal nanoparticle or complexes are deposited. In 2014, D. Jiang et al. developed a chiral-organocatalytic COF prepared through pore surface engineering, whose system was proposed in 2011. The construction of functional COFs by a bottom-up strategy is a relatively difficult task because it must simultaneously meet the requirements for crystallinity and functionality. A series of water- and photostable 2D azine-linked COFs have been synthesized from hydrazine and triphenylarene aldehyde with a varying number of nitrogen atoms. The goal of COF catalysis is to develop heterogeneous catalysts with high stability, low cost, and high conversion and selectivity.