Summary: Heterogeneous multi-core architecture is becoming more and more appreciated which reduces processor power dissipation significantly while the unbalanced load problem of heterogeneous multi-core processor may cause heterogeneous multi-core processor execute instability. In this paper we propose a mechanism based on HASS (heterogeneity-aware static scheduling )and (heterogeneity-aware dynamic thread migration) HADM to ensure the load balance among various different cores. Simulation experiment shows that the mechanism improves the executing performance and ensures the stability of heterogeneous multi-core processor.