Since Graphene discovery, designing and implementation of electronic circuits have been developed in the THz and optical frequencies to achieve ultrafast responses. Thus, electromagnetic shielding due to its protection effects against disturbances caused by adjacent elements has emerged as a vital issue in circuit designing. In this paper, two types of electromagnetic shields are proposed in the THz regime. Regarding the adjustability of Graphene’ s conductivity, one can easily tune the frequency response in order to adapt it with the frequency range in which their circuit works. In order to accelerate the computation of shield efficiency factor, firstly an equivalent circuit model is proposed as a closed-form expression, and then shield efficiency can be achieved using transmission line model. Comparisons indicate that the results derived from the proposed method are in high accordance with those of CST-MWS commercial software. Finally the effects of the number of layers, the thickness of SiO2 layers, the width of Graphene ribbons, the gap between the two individual cells, Fermi energies, and oblique incident on the shielding effectiveness of the proposed structure are discussed in details for interesting readers.