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We present an analytical approach to compute the curvature effect by the new analytical solutions of coseismic deformation derived for the homogeneous sphere model. We consider two spheres with different radii: one is the same as earth, the other with a larger radius can approximate a half-space model. Based on spherical dislocation theory, we derive the analytical solutions of independent point sources for the sphere model. By these analytical solutions, we can calculate any spherical harmonic degrees of the spherical function expressions, without consideration for the truncation error of the infinite series. In this case, the co-seismic deformation can be described in analytical expressions. Then, we consider two spheres with different radii so that the larger one can be considered as an approximation of the half-space model. Then, we calculate the coseismic displacements for the two spheres and define the relative percentage of the displacements as the curvature effect.