The paper is devoted to the idea of metamaterials with quasi-zero stiffness for vibration isolation. Metametarials may provide special and unique properties of materials. In this area it is possible to use the principles of systems with quasi-zero stiffness. Such nonlinear deformation of material provides low stiffness at a certain point. Hence low natural frequency and high efficiency of vibration isolation can be obtained. An analytical study was done. Computer modeling shows a big enough margin of safety and also proves the existence of force characteristic with quasi-zero stiffness. The calculation has shown that the metamaterial has natural frequency lower than 1 Hz and optimum load 2 tons per m2. An experimental prototype has been made for further study.