||In this paper, for the first time, there is comprehensively tackling the problem of biomechanical optimization of a sport of situation such as judo. Starting from the optimization of more simple sports, optimization of this kind of complex sports is grounded on a general physics tool such as the analysis of variation. The objective function is divided for static and dynamic situation of Athletes couple, and it is proposed also a sort of dynamic programming problem Strategic Optimization. A dynamic programming problem is an optimization problem in which decisions have to be taken sequentially over several time periods linked in some fashion. A strategy for a dynamic programming problem is just a contingency plan, a plan that specifies what is to be done at each stage as a function of all that has transpired up to that point. It is possible to demonstrate, under some conditions, that a Markovian optimal strategy is an optimal strategy for the dynamic programming problem under examination. At last we try to approach the optimization of couple of athletes motion. Shifting s Trajectories study is a very hard and complex work, because falls among fractal, self similar trajectories produced by Chaotic, irregular, Dynamics. It is possible to Optimize Athletes motion planning. Motion planning could be defined as the problem of finding a collision free trajectory from the start configuration to the goal configuration. It is possible to treat motion as an optimization problem, to search the trajectory that drive adversary into a final broken symmetry position, where it is possible to collide and apply one of the two throwing tools: Couple or Lever.