Aiming at the complex process and low recognition rate of traditional methods, this study proposes a voiceprint recognition method based on ResNet-LSTM. In this method, ResNet and LSTM are respectively used to extract the spatial and temporal features of voiceprints. Thus, the deep voiceprint features including both spatial and temporal features are obtained. The experimental results show that the equal error rate of the proposed method is 1.196%, which is 3.68% and 1.95% lower than that of the baseline methods d-vector and VGGNet, respectively, and the recognition accuracy reaches 98.8%.