Based on the spatial analytic geometry and the refraction law(in vector form),an aspheric and asymmetrical collimation optical system was studied.Space propagation rules for laser beam were strictly deduced,and the transfer matrixes formulae were obtained for the laser beam divergence angle.Laser beam divergence angle was designed by the optimization methods.Divergence angle for collimation system was measured by laser beam analyzer,the result indicated that the collimation system can achieve high collimation precision.