In recent years, elastic metamaterials have become extremely fascinating to many researchers due to the bandgap characteristics. This study develops, a basic elastic metamaterial-based vibration isolation gasket that is capable of isolating low-frequency elastic waves. The elastic metamaterial based on local resonance has been numerically and experimentally investigated and discussed. The result shows that a wide low-frequency bandgap from 430 Hz to 1490 Hz appears for elastic waves. Although the elastic metamaterial is only made up of three unit cells, modeling and experimental findings demonstrate a significant attenuation impact. This work not only provides a new option to design elastic metamaterial for controlling elastic waves, but also provides a new design idea for vibration isolation gasket.