Based on the mechanical model of the Bottom Hole Assembly (BHA), this paper establishes a trajectory prediction model for screw drilling tools by comprehensively considering factors such as bit-formation interaction and the structure of the positive displacement motor (PDM). Using the “Zero Lateral Rate of Penetration (ROP)” criterion, the model was validated with actual drilling data from a specific block in the Mahu Oilfield and subjected to sensitivity analysis. The following conclusions were drawn: when the correction coefficient is set to 0.75, the prediction accuracy of the build-up rate is highest; as the bit anisotropy index increases, the build-up capability of the PDM improves; smaller stabilizer outer diameters and greater distances between the stabilizer and the bit enhance inclination control. This study is expected to provide valuable reference for trajectory control of screw drilling tools in similar formation blocks.