Optical properties of graphene oxide and poly methyl methacrylate nanocomposite was investigated in this paper. Initially, graphene oxide was prepared from the oxidation of graphite powder by a strong acid by Hummers-Offemane method. Then identification, purity determination and particle size were obtained by using infrared spectroscopy, X-ray diffraction and scanning electron microscopy. The average size of graphene oxide nano particles was estimated about 38.4 nm using the XRD technique. So nano composites of graphene oxide based on poly methyl methacrylate were prepared by the co-precipitation method as an optical sensor element. Nano  composites were identified and characterized by FE SEM, EDX, XRD and FT IR analyzes. To investigate the optical properties of the specimens, UV-vis spectro photometry and reflective spectrometer were used. For three samples of the poly methyl methacrylate nano composite containing nano -graphene oxide, the values ​​of the color parameters b *, a * and L * were obtained that were prepared in the same conditions. Then the black index of the Westlanchr('39')s ratio was calculated. The average blackness index calculated was 3.7 for this nano composite. The study of UV-vis spectra in the region of 400-1100 nm for this nano composite showed that in the 400 - 700 nm regions the light transmission of UV light is approximately zero. Therefore, the results showed that the use of graphene oxide in the PMMA matrix improves the nano composite coating properties against UV waves and nano oxide graphene gives better shades of black color compared to other fillers and pigments.