To reduce embedding distortion during the verification of 3D models and enhance the precision of tamper detection, a semi-fragile reversible watermarking is proposed for 3D models based on quantization interval division modulation. Initially, 3D models are transformed from Cartesian to spherical coordinates. Subsequently, watermarks derived from vertex and one-ring neighborhood surface information are generated in two parts to improve tamper detection precision. The watermark embedding leverages quantization interval division modulation to reduce embedding distortion. Experimental results and analysis reveal that this approach exhibits reduced embedding distortion and enhanced tamper detection precision compared with some existing schemes, and it demonstrates potential of application in 3D model integrity verification.