Abstract: Premature convergence is the fatal shortcoming of the traditional evolution strategy.Based on the analysis of premature convergence，a novel bi-group evolution strategy algorithm is proposed.In the new algorithm，evolution of the two groups is parallel performed with different mutation operator respectively.Using the new algorithm to find all roots of complex functional equation，this algorithm has much character such as the solution is in high accuracy，strong adaptability and so on.At last from the examples the authors can know that the novel algorithm is better than the old method such as iterative method，down mountain and so on.The object is to propose a new algorithm for solving complex functional equation.This algorithm has very important application in the computation of science and engineering.