Consolidation parameters of soft soil play an important role in calculating settlement and soft soil improvement by vertical drainage method (distance, quantity, treatment time). In this study, using oedometer tests, consolidation parameters of some soft soils in the North Central coastal region, Vietnam are clarified. The research results show that the compression index Cc has a strong relationship with the natural water content, liquid limit, dry unit weight, and void ratio of the soil. The consolidation coefficient significantly depends on the applied pressure level, at the over-consolidation stage (normal stress is less than preconsolidation pressure), the consolidation coefficient is high. By contrast, at the normal consolidation stage (normal stress is greater than preconsolidation pressure), the coefficient of consolidation is small. The preconsolidation pressure of soil changes with the distribution depth.