Abstract: The existence of high-angle fractures leads to an anisotropic underground medium, and the reflection coefficient varies with the azimuth, which can be characterized using the azimuthal Fourier series analysis. The formation and distribution of fractures are controlled by tectonic stress. An amplitude variation with azimuth (AVAz) fracture parameter inversion method was proposed based on different tectonic stress constraints. Firstly, the curvature attribute was extracted using the post-stack seismic data, and the normalized differential tectonic stress factor was constructed based on the maximum positive curvature and the minimum negative curvature. Secondly, Fourier series analysis was performed on the data, and its second-order Fourier phase angle and zero-order Fourier coefficient were calculated. Finally, a differential tectonic stress factor was introduced as a constraint condition, and an inversion objective function based on the second-order Fourier coefficients was constructed as the solution target, thereby achieving the inversion of fracture density. The Ordovician carbonate rock fracture-cavity reservoirs in the Tarim Basin are controlled by tectonic stress. The application results of the AVAz fracture parameter inversion method based on the constraint of differential tectonic stress factor in the Ordovician carbonate rock fracture-cavity reservoir of Tahe Oilfield show that the inversion results of fracture density and fracture orientation are consistent with the logging data, verifying the effectiveness of this inversion method. The application demonstrates that the proposed method can effectively improve the prediction accuracy of the fractures and thus provides a new technical support for fractured reservoir prediction.