Laplace’s equation has been solved, discussed and applied by many mathematicians and physicians. Because of the significance and applicability of this equation in the field of physcial science, its approximate solution by Finite Element Method and comparison between computations and analytical results are presented. Laplace’s equation has been solved, discussed and applied by many mathematicians and physicians. Because of the significance and applicability of this equation in the field of physcial science, its approximate solution by Finite Element Method and comparison between computations and analytical results are presented.