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The research progress of the integrated optical gyroscope with optical gain (IOGWOG) in the world and the results of our group are reported. The IOGWOG is realized by the ways of semiconductor optical amplifier, stimulated Raman scattering and stimulated radiation of rare earth ions. Some problems in recent research and the future development direction are pointed out. It is foreseed that IOGWOG combined with new effect will be the new research hot in the future and the low cost, small volume-optical integrated gyroscope will be developed step by step. It will process wide application prospect in the field of inertial navigation.