Beam shifts refer to the small deviation of the reflection point or transmission point in the process of reflection or transmission of the beam, which violates the prediction of geometric optics, including Goos-H nchen, Imbert-Fedorv shifts, Goos-H nchen angular shifts and Imbert-Fedorv Angular shifts. The research on beam shifts continues to develop with the advancement of science and technology, which not only enriches our understanding of light fluctuations and quantum nature, but also further deepens our understanding of the internal physical mechanism of new materials, thereby promoting us to the unknown to explore the physical world. This paper presents the discovery of beam shifts, its theoretical explanation and a summary of its research progress.