Interval data (ID) is a kind of data which the attribute values are the interval. Aiming at the classification problem of interval data, a support vector machine classification model based on Gauss interval kernel (GIK_SVM) is proposed. In the method, the half-width factor is introduced which makes a compromise between the median and the half width of interval data. Then, the Gauss interval kernel is constructed to measure the similarity between two interval data. SVM model is applied to classify the samples.Experiment results on artificial and real datasets demonstrate that the proposed GIK_SVM has a better classification performance for interval data.