In this paper, Stokes parameters which represent the states of polarization of transmitted light are determined by potential function, which is used to obtain signals points in a multidimensional Euclidean structure. And performance of multilevel polarization shift keying(POLSK) system using the obtained parameters is also represented and analyzed. As results, bit error rate of multilevel POLSK system using the potential function is shown to be lower than the conventional one using the distance matrix. And as number of levels increases, the number of photons per bit for bit error rate of 10$^{-9}$ is also increased linearly. The multilevel POLSK system, therefore, is an energy efficient modulation technque as compared with the convnetional ones.