Convergence rate estimation of clonal selection algorithm is a difficult problem and it is still in the initial stage.The convergence rate of elitist clonal selection algorithm is studied in this paper.The best individual transition probability matrix is derived from the best individual directional transition probability in algorithm populations.It is difficult to calculate the matrix due to the large algorithm population size in practical applications.On the basis of certain conditions

the best individual transition probability matrix is constructed to a matrix norm and a simpler and more effective new average convergence rate estimation method of a class of clonal selection algorithm is proposed.The simulation experiments of different elitist clonal selection algorithms show the validity of the estimation method.