An universal perturbed icosahedral projection packing method is presented to solve spherical surface packing problem. First of all, original packing positions is obtained by using icosahedral points projection on its concentric spherical surface. Then, using chord ratio and packing density as merit values, perturbed points moving strategy is used to optimize these initial positions. Finally, universal property of this method is tested by changing the number of packing points. In addition, this method is compared with another packing method, so called hexagonal density packing along longitude and latitude, which is based on local strategy. The result shows that this method is rather effective when the packing solid angle is large and the number of packing lenses is huge, the chord ratio can be reduced below 0.17, and the packing density can be increased above 75%, accompanied with outstanding symmetry, an excellent imaging performance is guaranteed.