Purpose <p>This work aims to establish a vibration isolation system with constant frequency property that is <i>concise in form</i> and <i>easy in fabrication</i>.</p> Methods <p>Inspired by the insect leg mechanism a configuration space is preselected, then the optimal configuration with approximate exponential load-displacement relation is extracted by combining the energy method and genetic algorithm. Resorting to origami crafts, the isolation system is fabricated by three-step operation, that is <i>cutting</i>, <i>folding</i> and <i>assembling</i>: cutting the pattern in two-dimensional plane, folding to create the initial angles by plastic deformation, while assembling the system in three-dimensional space.</p> Results <p>Static experiments demonstrate that the load-displacement relation fits the exponential function with high precision; dynamic tests confirm its good vibration isolation performance, especially the excellent constant-frequency characteristics.</p> Conclusions <p>The proposed design successfully combines bio-inspiration and origami-based fabrication to realize a practical constant-frequency isolation system. The intervention of origami crafts dramatically simplifies the fabrication process, and paves the way for the generalization from isolation cells to isolation metamaterials with constant frequency property.</p>