Nowadays, one of the most important energy issues is how to deal with the sulfur removal from liquid fuels in a simple and inexpensive ways. Adsorptive desulphurization process can solve this issue when use highly effective adsorbent like metal organic frameworks (MOFs) and its nano-composites. In this context, this study uses the green solvo-themal method for the preparation of MOF (Cu-BTC) and MOF/Graphene hybrid nano-composite to be used as an effective DBT adsorbent from the model fuels. The prepared adsorbents were characterized by using different analytical techniques like: XRD, FTIR, BET, and TEM. Adsorption experimental results demonstrated that the composite material MOF/Gr (9:1 wt ratio) exhibited extra ordinary high dibenzothiophene adsorption with adsorption capacity (46.2 mg S/g) under the optimum experimental conditions. Kinetic and Langmuir and Freundlich isotherm were also studied.