In order to find out the influencing factors of breast cancer recurrence, this paper investigates the artificial neural network(ANN), support vector machine(SVM) and logistic regression for the prediction of breast cancer recurrence. A data set containing 277patients' records which is provided by the University of Wisconsin Hospitals, Madison from Wolberg is used to study the influencing factors of recurrence of breast cancer. By using logistic regression, artificial neural networks and support vector machine, it determines the important factors of breast cancer recurrence, and then compares these three methods. The results show that tumors size, nodules risk, the degree of malignancy(P<0.05) are the main factors of breast cancer recurrence. Compared to the logistic regression model, support vector machine and artificial neural network has better prediction performance, and support vector machine performs best.