Spherical parameterization is a key enabling technology in geometric modeling and processing. We develop an efficient algorithm to optimize the spherical parameterization. The objective function aims to reduce both angle and area distortion. Compared with other existing spherical mapping computation algorithms, our hierarchical spherical optimization is efficient and has the guarantee of local convergence; our mapping results in a less distorted parameterization with guaranteed bijectivity. We also demonstrate the effectiveness of our spherical parameterization in spherical harmonics computation and shape analysis.