<p>Complaint mechanisms are coherent homogeneous structures whose motion, in contrast to the classical mechanism, depends on the elastic segments called flexure hinges. They offer several advantages: they can be easily manufactured from one piece, are suitable for microscale applications (e.g., through microsystems technologies), require no maintenance or lubrication, and eliminate friction and wear. However, due to their elastic nature, analyzing and predicting their motion and mechanical behavior can be challenging. In addition to this, the ability to generate diverse designs of compliant mechanisms for various purposes grants researchers’ significant freedom to explore this field, leading to an increasing emphasis on compliant mechanisms in research. One such compliant mechanism, designed with a curved flexure hinge, which serves as a base for compliant grippers, is presented in the paper. The curved flexure hinge is analyzed in terms of its output force capabilities. Different input parameters related to hinge geometry and 3D printing settings were considered to assess their influence on the output force. First, a screening method for depicting statistically significant parameters is used, from which it was concluded that the length, width, and height of the curved flexure hinge influence the output force the most. Subsequently, a full factorial design of experiments was executed, leading to the establishment of a mathematical model for predicting the output force. It became apparent that the output force of the curved flexure hinge rises in conjunction with an increase in both width and height, while simultaneously decreasing with a reduction in length.</p>