One of the important issues in transportation and logistics systems is vehicle routing problem (VRP). On the other hand, as a result of the increasing environmental concerns, economic problems and pressure of laws, green logistics (GL) and reverse logistics (RL) have received increasing attention during recent years. In this regard, the present study introduced a vehicle routing problem in reverse logistics with the split demand of costumers and fuel consumption optimization. For this problem, a mixed integer linear programming model is proposed.  Finally, to validate the proposed model, some examples have been solved by GAMS software.