For the common equalization problem in communication, the LS-SVM is applied to nonlinear equalization task in case of nonlinear channel with color noise. Comparing the performances with the Bayesian optimal equalizer, the LS-SVM equalizer is testified to solve the nonlinear equalization effectively. 结合通信中常见的非线性均衡问题,讨论了在信道呈现非线性,色噪声干扰情况下,使用LS-SVM实现均衡任务,通过同最优贝叶斯均衡器性能的比较,证明了LS-SVM处理非线性均衡问题的有效性。