Abstract: Based on the clonal selection principle and idiotypic immune network theory exhibited in biological immune system,a new immune algorithm-the clonal selection adjustment algorithm (CSAA) is proposed.The algorithm introduces the dynamic adjustment idea of antibody promotion and suppression based on the clonal selection algorithm.With the use of the self-adaptive Cauchi mutation operation,immune memory and clonal restrain mechanisms,CSAA holds a better diversity of population,improves the global convergence speed,and can effectively avoid prematurity.Stochastic processes theory is used as mathematical tools,and the weak convergence in the probability of CSAA is proved on the basis of pure probability method.The contrasting simulation experiments between CSAA and other clonal selection algorithms are performed.The experiment results verify that the theory proven above is right,indicate that CSAA has a preferable convergence ability and stability in solving multi-modal function optimization,and is more effective and feasible.