Abstract: To efficiently control the global and local search of Differential Evolution algorithm（DE），motivated by the idea of increasing Cross Rate（CR），three nonlinear strategies for CR，a parabola opening upwards，a parabola opening downwards and an exponential curve，based on the existing differential evolution algorithm with adaptive second mutation are proposed.Four classic Benchmarks functions are used to evaluate the strategies on the DE performance.The experimental results show that for most continuous optimization problems，the strategy of concave function gains an advantage over the linear strategy，while the linear strategy outperforms strategy of convex function with the identical initial and final weights.