So far, the research of static voltage stability is relatively mature. Several indices of static voltage stability are introduced, such as singular value index, sensitivity index, line voltage stability index and local voltage stability index. Several analysis methods of static voltage stability, including singular value decomposition method, sensitivity analysis method, continuous power flow method and collapse point method with the summary and comment. The preventive control strategy of static voltage stability is analyzed and summarized. Finally, the future development direction is prospected.