Abstract: The in-situ soft soil is usually the K₀ consolidated one with the initial anisotropy, and laboratory triaxial tests usually uses the remolded soil with isobaric consolidation. The undrained shear tests (three kinds of tests: ICUC, ACUC, ACUE) about K₀ consolidated and isotropic consolidated soils are carried out by using the original and remolded soil samples made by Shanghai soft clay, and the normalized intensity c_u/${{\sigma }^{\prime }}_{\text{vc}}$, normalized modulus E_u50/${{\sigma }^{\prime }}_{\text{vc}}$, normalized modulus E_u /E_u50-ε_a under characteristics of the nonlinear two consolidation states are compared. The results show that the stress and strain of soils under the two consolidation modes possess obvious nonlinear characteristics, and there are differences in strength exertion and normalized strength. The normalized effect obtained by using E_u50 as the normalization factor is satisfactory, and the normalized curves of the undisturbed and remolded soil samples are almost the same.