Abstract: The disturbance response instability theory for rock burst derives the theoretical formulas and instability criteria for rock burst occurrence. However, the analytical solution for the critical stress of the roadway surrounding rock does not consider complex geological structures such as heterogeneous strata, as well as variable loading conditions. To address this issue, this study integrated the disturbance response instability theory for rock burst with StrataKing-3D, the parallel computing system for stratum movement. The impact of roadway support stress on the critical stress was investigated from two aspects: the simplified homogeneous model and the practical engineering model (taking a roadway in the Longjiabao coal mine as an example). Additionally, the safety factor of the roadway in the engineering model was calculated to evaluate the safety of the roadway surrounding rock. The results showed that for the homogeneous model, the numerically calculated value of the critical stress of the roadway surrounding rock was higher than the theoretically calculated value, which qualitatively agreed with the survey data from 20 rock burst mines across the country. For the practical engineering model, when the support stress was 0.4 MPa, the numerically calculated value of the critical stress of the roadway surrounding rock was 35.61 MPa, which was basically consistent with the current coal seam critical stress (36.9 MPa), validating the accuracy of the method combining theoretical and numerical calculations. When the support stress increased to 0.8 MPa, the critical stress reached 44.69 MPa, and the safety factor was 1.05, indicating that the roadway was basically safe. The research findings provide a new method for determining the roadway support stress.