The mechanized resource utilization of domestic waste is the development trend in the field of waste treatment. The difficulty of bag breaking and the easy entanglement of domestic waste are the factors restricting the mechanization of waste separation and recycling. In response to the above problems, an internal blowing anti-tangle bag-breaking device for domestic waste was developed by combining the arc-type cutter and the internal flow field of the rotary. In addition, the motion trajectory of the cutters and the support rods were theoretically analyzed, as well as the force during the bag-breaking process of domestic waste. A three-factor, five-level orthogonal test was carried out to complete the regression ANOVA, and a relationship model was constructed between the test factors such as the cutting–support speed ratio, the center distance, the inlet flow rate and the response indicators such as the bag film length–perimeter ratio and bag film winding specific gravity. The key parameters and their significant interactions with the bag-breaking efficiency were analyzed to obtain the optimal combination of parameters for the device. Under the same conditions, the errors between the physical test and model predictions for the two response indicators were 5.46% and 7.90%, respectively, indicating that the verification test results were basically consistent with the model prediction results.