The velocity-correction projection method for the 2D/3D time-dependent micropolar fluid equations is considered. In this method, the first-order and second-order backward difference schemes are applied for time discretization and conforming finite element is adopted for spatial discretization. The unconditional stability of the first-order and second-order time semi-discrete velocity-correction projection methods are given, and the error estimation of the first-order semi-discrete scheme is analyzed. The stability analysis of the first-order fully discrete scheme is also given. Finally, several numerical examples are presented to show the efficiency of the proposed method.