Under many sea states, the marine risers behave in a quasi-static manner. The statistics of the response of the marine risers to random sea states producing quasi-static loading is determined using the spectral description of the sea states. The analysis procedure is similar to that proposed by Burrows  for offshore structures. The distribution of the response obtained by the proposed method is compared with those derived from the simulation studies in which ensemble of response time histories is computed from artificially generated histories of water particle kinematics for a given sea state. The results of the study indicate that the distribution of the quasi-static response can be adequately modeled by Pierson-Holmes  distribution.