Dimensional disaster is a common problem in machine learning tasks. The feature selection algorithm can select the optimal feature subset from the original data set and reduce the feature dimension. A hybrid feature selection algorithm is proposed. Firstly, the chi-square test and filtering method are used to select the important feature subsets and normalize scale, and then SBS-SVM wrapped by SBS and SVM. The algorithm selects the optimal feature subset to maximize the classification performance and effectively reduce the number of features. In the experiment, the SBS-SVM in the parcel stage and the other two algorithms are tested on three classical data sets. The results show that the SBS-SVM algorithm has better performance in classification performance and generalization ability.