The dynamic response of symmetric fixed-type offshore structures in deep water under the action of random wind generated sea waves is investigated. The structure is idealized as a discrete mass system consisting of set of nodal mass points interconnected by linear elastic beam elements. The hydrodynarnic forces are computed according to Morison's formula and the Pierson-Moskowitz wave spectrum is used to simulate random waves. The analysis is carried out in the time domain to overcome the nonlinearity in the drag force. This procedure avoids the complexity of the available equivalent linearization techniques. For low wind speed the response spectntm is a narrow band process central central frequency near the natural frequency of the structure for the first mode which is the opposite for the case of shallow water where, the existence of resonance is far remote. But, increasing wind speed shifts the energy in the response spectrum toward lower frequency. Results include time histories for the velocity, accelcration of the excitation force, deck displacement and response spectral densities for different wind speed.