Aiming at the aeroelastic stability of labyrinth seal ring under intake distortion condition, a numerical model for the aeroelastic stability of labyrinth seal ring with intake distortion was established, which was based on the energy method and used 3D interpolation and unsteady dynamic mesh technology. Based on the experimental verification of the method, the effects of the steady and dynamic total pressure intake distortion and the dynamic total pressure uniform intake on the aeroelastic stability of the labyrinth seal ring were studied, including the location and level. Moreover, the characteristics of labyrinth seal aerodynamic work distribution were analyzed. The results show that the position of the steady total pressure intake distortion has no effect on the aeroelastic stability, but the level of distortion has a significant effect, which increase the probability of the aeroelastic instability in 2 and 3 nodal diameters. Under the same intake area condition, asymmetric intake is more prone to aeroelastic instability than symmetric intake. For the dynamic total pressure uniform intake, the type of the time and signal of increasing/decreasing pressure has little influence on aeroelastic stability. The labyrinth seal ring under steady total pressure intake distortion is more likely to cause aeroelastic instability than dynamic state. In addition, the aerodynamic work distribution characteristics of dynamic and symmetrical steady total pressure intake distortion are basically consistent with the uniform intake, and the aerodynamic work is distributed periodically along the axial direction with an approximate law. When the aeroelastic instability occurs due to the asymmetric steady total pressure intake distortion, the percentage of aerodynamic work of tooth unit components in total aerodynamic work changes significantly, and 95.7% of the total aerodynamic work is contributed by tooth unit TU#1. The above researches provide a theoretical basis for aeroelastic stability of labyrinth seal ring.