The damage behaviors of composite solid propellants were reviewed from four aspects： micro scale， meso scale， macro scale and cross scale. During this process， the observation and characterization methods of damage at different scales， determination methods for damage thresholds， construction methods for damage evolution models， numerical simulation methods for damage， and macro-mesoscopic cross-scale analysis methods were summarized. Based on this， to several shortcomings in current research， the future research directions that need to be further focused on are as follows： expanding the range of influencing factors to be considered in numerical simulation of damage behaviors for composite solid propellants at the microscale， and strengthening the verification of simulation results with experimental research conclusions from multiple aspects； improve the observation ability of damage experiments at the meso scale， the characterization level of damage evolution models， and the computational accuracy of damage numerical simulations； improve the detection accuracy of damage identification testing at the macro scale， the accuracy of determination methods for damage thresholds， and the predictive ability of damage evolution models； further establishing a theoretical method system for cross-scale study of the propellant damage behaviors based on the developed standard specification for the study of damage behaviors for composite solid propellants in single-scale.