Abstract: The combination of the new-type inorganic nanomaterials with the traditional polymer molecules will greatly promote the fully demonstrate of the versatility and high reinforcing property of the graphene, as well as the good mechanical properties and mature technology of the polymer. The development of the functional materials, nano-graphene and the polymer was briefly described in this paper. The polymer source of adsorption materials (three kinds of natural polymer, synthetic polymer), the application of catalytic materials in (synthetic, electric-) chemical reactions, the pore size characteristics of separation materials (low permeability, nanofiltration, ultrafiltration, microfiltration), and the use (tissue engineering, medical health, and medical materials) of biomedical materials were briefly analyzed. The functions and efficiency of various graphene/polymer functional composites were focused on, and their preparation methods and the reasons for the improvement of efficiency were simply stated. At the same time, the conductive materials, intelligent (or conduction) materials and magnetic materials and liquid crystal materials were summarized. It is expected to provide reference for the development and application of novel graphene/polymer functional composites. Last but not the least, the problems existing in the popularization rate and industrialization of graphene/polymer functional composites were also considered and prospected.