The authors analyze the negative geodynamic processes arising at operating underground gas storage and consider the system of geodynamic observations of them (the example of the Yelshano-Kurdyum underground gas storage). Based on analyzing the results of the ground-and-underground geodesic and satellite geodynamic observations complex it is concluded that the most commonly used technologies for monitoring geodynamic processes happening at exploitation of underground gas storage are incomplete, inefficient and allow to fix only catastrophic effects of negative geodynamic processes on the surface. Ground methods of geodynamic monitoring do not enable observing the occurrence and causes of these processes in the crust at the depth of underground gas storage location. Seismological monitoring, which allows continuous registration and parameterization of geodynamic processes assessing their depth, will contribute to increasing of underground gas storage-and-operation’s geodynamic safety