Compliant mechanisms have been widely found in nature. Instead of using rigid joints in conventional mechanisms, compliant mechanisms transfer motions through their flexible members. This work employs the buckling of double curved beam element to design compliant structures. Three groups of structures were proposed to investigate the influence of three different design parameters on their compliant behaviors under quasi-static compression: h’ (the ratio of beam apex height to beam thickness), l’ (the ratio of beam span length to thickness), and g’ (the ratio of membrane length to thickness). The proposed structures were fabricated by fused filament fabrication with a composite material. Experimental data, numerical simulations, and analytical results were compared and evaluated. It was demonstrated that the positive structural stiffness and peak force were correlated to the design parameter l’. The higher h’ value resulted in a more pronounced negative stiffness phase. In addition, the larger g’ could provide the beams with more constraint of buckling Mode 2 by transferring the rotational motion of either beam center to the axial motion of the other beam more effectively. The discrepancies between theoretical predictions and experimental results demonstrate the importance of fixed-end boundary conditions in achieving bi-stability. The transitions from reversibility to bi-stability by varying different design parameters provide insight into the design of compliant mechanisms. Herein, two approaches are evident to be effective in increasing the bi-stability of the curved beams with manufacturing defects and under undesired boundary conditions: (i) designing with a higher ‘g’’ value and (ii) increasing the number of coupling beams.