The traditional topological optimization method designs flexure hinge mechanisms, which often require a secondary design, using flexure hinges instead of the class hinge or a single node connection. This method is to optimize the topology of the flexure hinge independently of the external flexure hinge mechanism, without considering the integrated design of the flexure hinge and the flexure mechanism itself, so it cannot obtain the optimal configuration of both the overall structure and the flexure hinge simultaneously. This article proposes a topology optimization design method for flexure hinge mechanisms based on the moving morphable components method. The components containing hinges are used as the basic components for optimization, and the geometric parameters of the hinge part are directly involved in the optimization as design variables. A topology optimization model for flexure hinge mechanisms based on moving morphable components method is established. Numerical examples have effectively demonstrated the viability of this method, revealing that it is capable of concurrently determining the optimal configuration for both compliant mechanisms and flexure hinges.