Abstract- In this paper we have studied the surface polaritons (SPs) at the interface of a slab made of hyperbolic metamaterial and air. The investigated metamaterial is a one-dimensional multilayer structure made of graphene and dielectric layers. In a certain range of THz frequencies, the dispersion properties of the medium is hyperbolic. Therefore, the excitation of TM-polarized SPs is possible in the structure. The results show that the dispersion and frequency of SPs depend on the chemical potential of the graphene sheets and angle of orientation of the optical axis. The excitation of SPs has verified by plotting the ATR curves for the structure. SPs have many applications in nonlinear optics, sensors and surface studies