Abstract: The applications of unified theory of General Relativity (G,R) and Dirac cosmology which is suggested by the authors in a series of privious papers^[1,2], are discussed. The Friedman-Lemaitre Cosmological solutions, the spherical symmetric static solutions, and the Newton equations in weak gravitational field approx imation, are given. It is shown that the horizon difficult of Einstein big-bang cosmology can be satisfactorily solved in our unified theory.