For three-dimensional (3D) laser cutting profile in space surface, an optimized method to disperse cutting points is presented. By analyzing the curvature of starting point of the space curve, the initial step length can be determined according to precision. Then the intersection point of the reference ball founded by using the initial step length as the radius and the profile curve is the initial cutting point. Through adjusting the radius of the reference ball, the optimized discrete points can be obtained by using dichotomy according to chord length. An automatic programming software of 3D laser cutting is developed. The functions of track extraction, rapid dispersion of curves and normal vector calculation during the 3D laser cutting can be realized.