In this paper, the static characteristics of two-lobe, three-lobe and four-lobe noncircular gas journal bearing systems are studied in detail. The Reynold’s equation governing the noncircular gas bearing systems are analyzed by using Radial Basis Functions (RBF). The solutions are obtained numerically by solving systems of algebraic equations. The equilibrium position of the rotor is obtained without using the trial and error method; which is the merit of our method.