A four-bar flexure hinge mechanism was analyzed with pseudo-rigid-body model method. Based on this, the elasticity of the link of the four-bar flexure hinge mechanism was taken into account and the equation was given. The calculation of an example of the four-bar flexure hinge mechanism was carried out with this method, subsequently. The example was modeled with finite element method, and then was simulated by ANSYS. Finally, the results were discussed and compared, and the validity of this analysis method was proved.