The structure of nano-graphene oxide, due to its special properties such as hydrophilicity, special surface and suitable biocompatibility, the possibility of high loading of hydrophilic and hydrophobic drugs, has attracted special attention in drug release. In this study, after simulating and optimizing the structure of nano-graphene and then nano-graphene oxide (NGO), it was used to load the anti-cancer drug of camptothecin (CA) in aqueous medium and the optimal conditions for achieving maximum loading efficiency of the drug were investigated. Due to the structure of the drug, there are two forms of lactone ring and carboxylate, which if the lactone ring form is predominant, the effectiveness of the drug is increased, which depends on the pH of environment.The calculated thermodynamic and structural results show that the solubility of the drug in relation to nano-graphene and its lactone ring state are maintained by using nano-graphene oxide. By folic acid as an intermediate in aqueous medium, the drug is released to form of lactone ring and is increased the effectiveness of drug. Lactony is maintained the drug structure and is increased the drug effectiveness. The results show that the presence of the ring in the drug structure and its binding to the mediator of folic acid to nano-graphene oxide is a stabilizing factor of keto tautomer. The calculation of vibrational frequencies show that the presence of folic acid intermediate reduces the vibrational frequency of the hydroxyl group (OH) so that its absorption energy (Ead) is equal to the lowest value 65.24 a.u.