Aiming at the insufficient research on the complex sliding-toppling failure of anti-dip rock slopes，the geological model of complex sliding-block-flexural toppling failure was constructed，firstly，which contains the sliding，block toppling and flexural toppling zones. Next，based on the failure mechanisms of these three zones，their mechanical models were established，respectively. Then，the stability analysis approach of the complex sliding-block-flexural toppling failure was proposed according to the limit equilibrium theory and the cantilever beam model. Finally，one case study was performed for practical verification on the proposed geomechanics models and analysis approach. The results show that the stability of the complex sliding-block-flexural toppling zones is controlled by the block-flexural toppling zones. Further，the block and flexural toppling zones are active and passive failure zones，respectively. Consequently，the block toppling zone plays a vital role in slope design treatment.