Abstract: Graphene, as an ideal realization of two-dimensional crystals, has a promising future due to its unique electronic and physical properties. Many methods have been exploited to prepare high quality Graphene. Three main methods are reviewed, including the thermal decomposition of SiC (carbide) crystal surfaces, catalytic decomposition of hydrocarbon molecules on noble metal crystal surfaces, and chemically modified dispersion/reduction. The characteristics, recent development, and application prospects of each method are also discussed．