In this paper, we analyze bits coding of genetic arithmetic and make use of its better local optimum operation. Also we table a proposal that we use the scheme of optimum combination of arithmetic operation of global searching and local searching based on Gray Coding and tournament selection to solve the problem of the nonlinear optimization.Using C++ program, we have tested two classical functions-Shubert and Banana. The results show that the optimized combination of genetic arithmetic operators is good for question on nonlinear optimization.