In analysing earthquake response of the ground, it is necessary to estimate the dynamic deformation properties of soils with use of the in situ seismic survey and laboratory test. In practice, shear moduli at small strain levels are measured from the in situ seismic survey, on the other hand strain-dependent changes of shear moduli and damping ratios are measured from the laboratory test. Then, in order to correlate these two test results of the in situ and laboratory with each other, shear moduli at small strain levels measured from the in situ and laboratory test are needed. According to the previous studies dealing with the comparison between these two test results, however, large differences between the in situ and laboratory shear moduli were observed in the case of the firm clays and dense sands. It is considered that these differences may be attributed mainly to effects of sampling disturbance, long term consolidation and overconsolidation histories. In this paper, the authors proposed the prediction method on the dynamic deformation properties of clays subjected to long term consolidation and overconsolidation histories. This method is based on the hyperbolic stressstrain relationship, which is called "the Hardin-Drnevich model". The results estimated by the proposed method were in good agreement with the observed results by the cyclic triaxial test, which were performed to investigate the effects of confining pressures, consolidation time and overconsolidation ratios on strain-dependent changes of shear moduli and damping ratios of clays. Finally, the application of this method to the in situ dynamic deformation properties was given and at the same time the strain-dependency curves of shear moduli and damping ratios predicted by the proposed method were compared with those by the correction methods of other investigators.