Due to the existence of obstacles, none-line-of-sight(NLOS) propagation is common in localization scenes like mines, which causes refraction, reflection, diffraction and scattering of localization signals, leads to the increase of ranging error, and further influences accuracy of object localization. The influence of NLOS propagation on localization methods is analyzed including TOA(Time of Arrival), TDOA(Time Difference of Arrival), AOA(Angle of Arrival), RSSI(Received Signal Strength Indication), etc. Then existing literatures are reviewed from four aspects: identification of NLOS propagation, suppression of NLOS propagation error, utilization of NLOS propagation and localization method design in NLOS scenes. For the identification of NLOS propagation, the residual test method, error statistics method, energy detection method, neural network algorithm and geometry relation method are focused on. For the suppression of NLOS propagation error, the filtering-based method, semi-parametric-based method, energy detection-based method and database-based method are mainly analyzed. For the utilization of NLOS propagation, the method of improving robustness of localization system and the one based on error learning and matching are summarized emphatically. For the localization method design in NLOS scenes, the literatures are reviewed from two situations: the LOS/NLOS mixed scenes and only NLOS scenes. The new research directions of NLOS propagation in object localization are discussed, which are improving localization accuracy by using multiple technologies together, improving localization accuracy in NLOS scenes through new technologies and realizing cooperative localization among different systems by introducing extra information of other information systems.