Abstract: We put forward a new method for solving nonlinear equations which areoften met in practice.At first,we transform the problems of solving nonlinear equations into the optimization problems,then take advantage of excellence of the floating genetic algorithms,gain the superior resulting which is close to the precise result quickly,and then take the resulting as the original value of the quasi-Newton iterations,which have strong ability in converging to precise result in the local part,iterating to the precise result quickly.The hybrid genetic algorithm absorbs the merits of the floating genetic algorithm and the quasi-Newton iterations fully.At last,we verify the hybrid genetic algorithm by two examples,the result shows that the algorithm has highly convergent velocity and reliable convergent resulting,so the hybrid genetic algorithm is a successful algorithm used for solving nonlinear equations.