The consolidated undrained triaxial shear tests and coupled axial-torsional cyclic shear tests are conducted using the marine fine-grained sand to study the correlation between the critical state parameter and the liquefaction characteristics based on the critical state theory. The tests results show a linear correlation between the critical void ratio and the normalized effective normal stress. The results of the coupled axial-torsional cyclic shear tests show that the cycle number for liquefaction, NL, decreases with the increasing state parameter, ψ, for a certain cyclic resistance ratio. Finally, an exponential function for expressing the relationship between NL and ψ is proposed. © 2023 Chinese Society of Civil Engineering. All rights reserved.