The static Josephson effects in the circular symmetric annular junctions are discussed in this paper. When the annular widths are smaller than λJ, analytic solutions of magnetic field dependence of the maximum Josephson current Im, are obtained. Because the external magnetic field is nonuniform distributed in the junctions, the minima of lm are not equal to zero. These results exhibit a quasi-diffraction characteristic. When the annular widths are larger than λJ, the numerical solutions of the self-field equations are obtained, which show the magnetic field dependence of the maximun Josephson current Im and the current distribution. Due to the 2-dimensional character, the points of maximum of Im are not on the axis where the external field is equal to zero in the plot of Im vs. IH.