Porous organic frameworks (POFs) as an important subclass of nanoporous materials are of great interest in materials science. In recent years, the discovery and creation of POFs with excellent properties for advanced applications have attracted much attention and intensive efforts have been contributed to this field. As a result, the design of materials with multi-functionalities is an ever-pursued dream of materials scientists and engineers. In this respect, a new concept based on topology chemistry is introduced for the rational and targeted synthesis of POF materials. The present feature article provides an overview of the relationship between building blocks or starting monomers, underlying topological nets, and pre-determined structures. Several important nets are included successively from one to three dimensions. In addition, special emphasis is given to the advanced applications of designed POF materials in the current paper.