There is an inseparable relationship between basketball techniques development and its theoretical research. The merits of shooting technique play an important role in deciding teams’ victory. Basketball shooting technical process can be roughly divided into three stages as players throwing motions, basketball soaring process and basketball entering into the hoop. This paper using theorem of kinetic energy to analysis throwing motions and establish mathematic model, applying dynamics and fluid mechanics to analyze basketball off-hand flight process and build its mathematic model, utilizing extreme value of a function theory to analyze basketball hoop entering stage and establish the optimized mathematic planning model, then build the best throwing model with integration of 3stages optimized designing, finally make Matlab modeling simulation and data simulation to the whole process , get the best throwing distance of basketball is 4.6m, the best throwing angle is 62.75º, the best throwing speed is 7.92m/s when basketball not rotates