In this contribution, we present a compliant constant force mechanism for guiding an object. A straight elastic beam with a constant cross-section is connected to the object on one side. Its other side is fixed at a distance p from the object on a frame, forming an angle \(\alpha \) to the frame. The appropriate setting of the variables p and \(\alpha \) is to find, which guarantees that the object is guided with a constant force. The model was set up using differential equations within the Euler-Bernoulli beam theory for large deformations. We solved the equations using a combination of the Runge-Kutta method and the shot method. The variables p and \(\alpha \) were optimized using the Matlab patternsearch algorithm. The deviation from the force operating point in the optimized setting is less than 3% within a movement range of 15% of the beam length. The results were verified using the finite element method (FEM), with the error between the presented model and the FEM being less than 2%. The simplicity and cost-effectiveness of the presented compliant constant force mechanism make it applicable in various fields such as robotics, medical technology, and nanofabrication.