The anomalous hydrogen solubilities in the deformed palladiums were analyzed by employing modified Kirchheim`s model with considering the partially coherent strain energy which would induced during hydride precipitation around edge dislocations. The dislocation densities, obtained by this model, of the various cold worked and/or α↔β transformed palladium samples were the order of 10＾(11)㎝^(-2) The partially coherent strain energies were about 3 kJ/㏖H and nearly same in the various samples. This value could be compared with the incoherent strain energy, 0.4kJ/㏖H, which was obtained from the hysteresis on, P-C isotherm, and the coherent strain energy calculated, 9.6kJ/㏖H.