Abstract: In this paper,combining with the advantages of genetic algorithm and Newton  algorithm,a new method for solving equations was provided which turned the problem of finding the equation’s roots into the optimization problem.On the one hand,the algorithm overcame the genetic algorithm’s disadvantage which the local search’s ability is not well;on the other hand,the algorithm also solved the problem of difficulty in  finding the proper initialization point.Based on a lot of numerical experiments,the results showed that the algorithm is more preponderant than traditional algorithm genetic on solving nonlinear equations.

Key words: genetic algorithm, Newton algorithm, solving equation, genetic-Newton algorithm