Brush seals have found increasing use in turbomachinery within the past decade due to their superior sealing performance and flexible nature. The flow characteristics and fundamental behavior of single brush seal are known. However, the flow behavior of multi-stage brush seal combined with labyrinth teeth still requires further research. This article presents a detailed investigation into flow behavior of multi-stage brush seal combined with labyrinth teeth for turbine applications. The leakage rate through a two-stage brush seal combined with labyrinth teeth was measured using the rotating test rig at three operating clearances and four rotational speeds. The leakage rate through the seal was also numerically predicted using Reynolds-averaged Navier–Stokes solutions coupled with non-Darcian porous medium approach. To predict the seal leakage more accurately, the clearance reduction resulted from rotor centrifugal growth was considered in brush seal flow calculations. The effects of rotational speeds and sealing clearance on the leakage performance of the two-stage brush seal were evaluated based on the experimental and numerical results. In addition, to obtain an insight into flow mechanisms of multi-stage brush seals, the leakage rate, flow field, pressure distribution of bristle pack, and aerodynamic force acting on bristle pack of four different types of multi-stage brush seals were also analyzed and compared.