Sawing by circular saw blades is predominant in the mechanized treatment of natural stone. The predictive sawing force is crucial for optimizing, controlling, and monitoring the sawing process. In this work, a novel model for predicting sawing force, which is based on the distribution of the undeformed chip thickness at the sawing contact arc, was proposed. Based on the analysis of the chip geometry of the circular saw blade, the segment surface was divided into the front end and rear end according to the contact pattern between the segment and granite, and the models of the maximum undeformed chip thickness of diamond particles on the front end and rear end were established. Results suggest that the new proposed force model fully considered the distribution of undeformed chips compared with the current model. And the novel model has higher prediction accuracy, the mean maximum absolute error rate was within 3.77%, and the maximum absolute error rate was within 7.83%. Through theoretical analysis, the ratio (is 1.67) of the maximum thickness of the undeformed chips of the front segment and rear segment can fully explain the wear nonuniformity of the segment. The proposed model is of great signi cance to the optimization of saw blade structure and process parameters.