With excellent electrical, optical, magnetic and mechanical properties as well as large specific surface area, graphene has been applied in next-generation nano-electronics, ultra-high frequency device, transparent electrical conductors, composite materials, and superior energy capacitors etc. Functionalization of graphene has become a focus of extraordinary interest, because they cannot only stabilize, but also induce new properties of graphene. This review concise the properties of graphene and enormous application, from a science perspective.