Abstract: In order to establish the calculation model of low hysteresis, an anisotropic porous model contained with the bristles bending deflections was employed based on the physical structure of low hysteresis brush seal. The effect of the bristles in the seal was considered a resistance force and was added into the N-S equation as a source term. The model was established on the basis of the finite volume method and the SIMPLE method. The pressure field,velocity vectors distribution and leakage were calculated and analysised. Based on the calculation date, the influence by the main parameters included structure and working condition was investigated. Compared with the common brush seal and low hysteresis brush seal, it is obvious that the low hysteresis brush seal can decrease the pressure between the bristle and the back ring and increase the bristle-s adaptability. In the working state it is beneficial to the seal system.