A rigid and flexible stirring paddle combination for strengthening chaotic mixing of a fluid is disclosed. The stirring paddle combination comprises several layers that are all fixed to a same stirring shaft (2). A motor (1) drives the stirring paddle combination to rotate to input mechanical energy into a stirring tank (3), so that a fluid obtains a proper flow field, and a fluid mixing process is strengthened. The rigid and flexible stirring paddle combination on each layer consists of rigid stirring paddles (6) connected to the stirring shaft (2) and Mobius strips (5) connected to outer ends of the rigid stirring paddles. The stirring paddle combination provides shearing actions of rigid stirring paddles and multi-body movements of flexible sheets, has a jet flow effect, can effectivelyenhance a dispersion process of energy of blades, improve the fluid mixing efficiency, and can provide a good fluid mixing effect at a lower rotation speed.