Abstract: A new double-layered isolator was proposed, compose of positive and negative stiffness elements. A dynamic mechanical model was established for the double-layered hyper-damping isolator. Based on this dynamic model, the frequency response characteristics, time history series and force transmission rate were provided, respectively, by using Laplace transformation and 4th-order Runge-Kutta methods. The calculation results show that, comparing the dynamic responses of the single-layered and double-layered reference linear isolators and single-layered hyper-damping isolators, the dynamic responses of the double-layered hyper-damping isolators can be controlled effectively in middle and low frequency domain. Especially, the double-layered isolator is optimal for the control of multi-frequency excitations. In addition, the influences of design parameters, stiffness ratio α and factor of safety ε, on the dynamic performance were also studied. According to the calculating results, the hyper-damping isolator can realize the dynamic performance without resonance peak when the design parameters are chosen properly.