This work has been performed to knowledge the effect of insertion of pure graphene which is an organic two-dimensional material throughout the structural matrix of the pure sodium borate glass according to the chemical formula; 1mol. [Na2B4O7. 10H2O] + x g Graphene, where 0 ≤ x ≤ 3g. A set of four solid samples have been prepared using the fast cooling method from their melts at 1000±20oC. The prepared solids have been characterized using the XRD technique, which indicates the amorphous nature of all four samples, as well as showing an increase in the count rate as the content of graphene increases. FTIR spectral analysis clarified that the increase in the graphene content caused an increase in BO4 concentration with respect to BO3, as well as an amount of graphene that has been oxidized was shared as glass network formers. The measured values of both bulk density and the microhardness showed a slight increase as the graphene content increased. Optical measurement showed an increase in the optical absorbance, direct bandgap, indirect bandgap, and optical bandage. Also, the values of optoelectronic parameters increased when the graphene content increased, to be larger than that of the pure ZnO, and CO-ZnO which make the studied glass to be good candidates for nonlinear optical applications. Both the metallization factor and Urbach's energy showed that the crystallinity degree increased when the content of graphene increased.