The most difficultstep in analyzing soil-pile interaction in liquefied ground byusing the Beam on Nonlinear Winkler Foundation (BNWF) method ishow to determine p-y curves for liquefied soil, andconsequently many attempts have been made for investigatingp-y curves of the liquefying soil. The history, currentsituation and valuable achievements of the p-y curve model forliquefying soil are comprehensively expounded, some typical testsfor studying $p$-$y$ curves are reviewed and those p-y curvesare briefly summarized that were often used to analyze the lateralresponse of pile foundations on liquefied grounds. Finally, sincea lot of valuable achievements in p-y curve model have beenmade and put into practice in the overseas design of pilefoundations on liquefiable grounds whereas the domestic researchis still at the start with focuses laid on experiments, somethoughts and understandings on the p-y curves are put forwardin this review to elucidate effective technical approaches. Thepromotion of researches on the p-y curve model has theoreticaland practical significance for developing displacement-basedmethods of seismic design for pile-supported bridges in China.