Using chemical vapor deposition(CVD), the synthesis of graphene was performed on poly and single crystalline Cu substrates. The growth behavior of graphene and its characterization were shown utilizing the optical microscopic image and its image analysis. As a result in the analysis of graphene growth, it was found out the graphene is growing always in particular direction in relation to the crystalline direction of a single grain in polycrystalline Cu substrate. With the image analysis it was possible to show the characterization of graphene, such as the growth direction and the number of layers showing single, double and triple layers, within the neighboring single grains in polycrystalline Cu. In addition, the relatively large area of graphene with about $3mm^2$ on Cu(111) having high quality, single layer, and single crystalline was shown along with its characterization.