The principle of binary optics used for beam shaping is introduced. On the basis of the analysis of GS and YG algorithms, three algorithms are developed for phase design of the Binary Optical Element (BOE), including Global/local united searching algorithm (GLUSA), hybrid algorithm combining Hill-climbing with Simulated Annealing and its multi-resolution algorithm. For example, the BOE obtaining uniform focused spot for Inertial Confinement Fusion (ICF) is designed by the above algorithms. The simulated results show that fine phase structure and good characters of the focused spot are realized by using the hybrid algorithm. A continuous phase plate is manufactured with a rotating hollowed-out mask. The intensity distribution of the focused spot is measured by a common CCD and multi-attenuators with which the measurement dynamic range is increased .The experimental results after data processing show that the focused spot with steep edge, low side lobe, high light efficiency and fair uniformity of the main lobe without sharp peak at the zero order is obtained.