NiMnIn alloy is a kind of new magnetic-controlled intelligent materials, which has excellent magnetic shape memory effect and magnetocaloric effect. Its magnetoresponsive functional behaviors are originated from reverse martensitic phase transformation induced by magnetic field. In the process，there exists the transformation from weakmagnetic martensite to ferromagnetic austenite. Thus, researches on crystal structures of austenite and martensite, crystallographic characters of martensite microstructure, and orientation relationship in martensitic phase transformation are helpful to understand and optimize the magnetoresponsive functional behaviors of NiMnIn alloy. Based on the research progress on crystallography of NiMnIn magnetic shape memory alloy, the five main contents were reviewed in this study. They can be concluded as crystal structures of austenite and 6M modulated martensite, crystallographic characters and formation mechanism of microstructure in 6M modulated martensite, orientation relationship in austenite-martensite phase transformation, transformation path of 6M martensitic phase transformation, rearrangement behavior and mechanism of martensite variants under external mechanical loading, respectively. Finally, the existing problems and development trend on crystallography study of NiMnIn alloy were summarized and prospected.