The European Organisation for Nuclear Research (CERN) is continuously upgrading its extensive underground facilities to cope with the need for new and more complex experiments. The Large Hadron Collider (LHC) houses the Compact Muon Solenoid (CMS) detector at its Point 5, where there are two large shafts, two 100 m deep major parallel caverns, with a total span of 50 m, separated by a 7 m wide and 28 m high concrete pillar, and a system of secondary tunnels and caverns. Such a complex underground infrastructure lies in a sedimentary rock formation (red molasse) of the Geneva basin, with a low rock cover of about 20 m to the overlying 50 m thick layer of water bearing moraine. The site is classified as a zone of moderate seismicity and the underground structures were designed against a "standard" seismic risk, that corresponds to the importance category II according to Eurocode 8. To study the dynamic response of the caverns to seismic waves, a series of Finite Element (FE) full dynamic analyses have been carried out, where the non-linear behavior of the underground layers has been carefully modelled. A suite of input signals that comply with the design spectrum has been applied to the model. The preliminary results are commented in the paper to define the seismic safety requirement for the sensitive infrastructures and installations located inside the tunnels and caverns.