Achieving the potential for plasma particle interactions by modifying the Deutsch potential has been considered in many studies. One very convenient way to do this is to utilize the method as a dielectric function. In this method, by applying di®erent potentials, it tries to provide corrective terms in the initial potential. As a result of using this method, an e®ective potential function is obtained from which the plasma characteristics including state equation and thermodynamic features can be derived. Because the screening e®ects between plasma particles are not taken into account by the Deutsch potential and therefore show di®erent results from the real values, in this paper, we have tried to add corrective terms with the help of Hulthen potential and dielectric response function to it. Thus, an e®ective potential was obtained and then its equation of state was derived consequently. Finally, the results of this modi¯ed potential and the equation of state were compared with the results of other works.