Abstract: It is complicated and important to study the convergence of clonal selection algorithms in the field of immune computation.However,there are few results about it.Recent developments on the convergence analysis on clonal selection algorithm are reviewed.While the main focus of this review is placed on the existing convergence analysis methods such as the homogeneous Markov chain model,pure probabilistic method and martingale theory.The advantages and disadvantages of these models are analyzed in order to promote further development of the convergence theory study for clonal selection algorithm.