Aeronautic static inverters (ASIs) convert the DC bus voltage to constant frequency AC voltage, which is an important part of the aircraft power system. Research progress in recent years from the aspects of topologies and control techniques is reviewed. The key techniques to improve the ASI′s power density, efficiency, input/output performance are highlighted. The topologies with small reverse recovery losses and the interleaving phase-shift control technology can increase the equivalent operating frequency of the filters and reduce the weight of passive components. By introducing a notch filter into the voltage loop of DC-DC converter, the output impedance at twice line frequency is significantly increased and the low-frequency current ripple in the input of the single-phase ASIs can be reduced. By introducing a resonant controller into the voltage loop of DC-AC converter, the output voltage regulation of ASI can be significantly improved. On the basis of improving the performance of basic module, the combination control technology of strong anti-interference ability is researched, which has laid the foundation for the standardization of ASI.