<p>Abrasive jet machining (AJM) is an efficient and unconventional processing technology for hard-to-machine materials, such as metals, ceramics, and composite. The material removal behavior of this technology depends significantly on all the abrasive jet process parameters, which significantly influences the cutting efficiency, shape precision, and surface quality. Nevertheless, given the complexity of fluid dynamics and the numerous influencing factors in abrasive jet processing, establishing a quantitative model for comprehensively analyzing the material removal behavior remains challenging. To grasp the current status and development trend of material removal for abrasive jet processing, this paper summarizes and investigates the influencing factors and relevant models of shape control and material removal rate (MRR) in the AJM process. Firstly, the material removal mechanism of AJM is explored, and critical factors affecting material removal efficiency are analyzed. Subsequently, considering the influencing factors, the recent modelling advances in predicting material removal depth, width, and MRR are summarized. At the same time, since the material removal model can precisely control MRR and simulate the AJM, its application effect has been well verified. Finally, conclusions and future development trends of material removal analysis and precision contouring in AJM are presented based on the above academic achievements.</p>