The Cosmological principle is the hypothesis that the universe is spatially homogeneous and isotropic. In the study of cosmological model, the Einstein field equations and construct a static model of the universe. A method has proposed by Berman 1991 3 on the basis of the conservation law, to incorporate the variable Gravitational constant ‘G ’ and Cosmological constant ‘  ’ in the Einstein field equations. The solutions are obtained by choosing suitable values for the constant  and  , a number of cosmological models may be constructed and the validity of these models may be tested on the theoretical and observational grounds.