Abstract: In this paper,the principle of the kernel extreme learning machine was analyzed,a kind of wavelet kernel extreme learning machine was put forward.Wavelet function was used as extreme learning machine's kernel function,and it was proved that wavelet kernel is a kind of allowed extreme learning machine kernel.Through the double helix data tests showed that wavelet kernel extreme learning machine also has the ability of classification in the absence of training data distribution,and Gauss kernel extreme learning machine don't have the ability of classification in the absence of training data distribution.Through the different UCI data set tests showed that wavelet kernel extreme learning machine has good classification performance.Finally when applied to face recognition,the wavelet kernel extreme learning machine also achieves excellent performance,showing that the wavelet kernel extreme learning machine has application value to some degree.