More than 50 million tons of dredged soils are produced every year in Korea. Approximately 10% of these dredged soils are dumped into the ocean because of contamination, while 80% are reclaimed to create artificial wetlands, artificial beaches, and ecological parks. The interpretation of sedimentation and self-weight consolidation behavior is very important because this behavior is closely related to the stabilization of dredged soils and the landfilling period. The analytical solution for the calculation of excess pore-water pressure is obtained by determining the initial and boundary conditions. Then, the surface settlement and density profiles are predicted by using this analytical solution. The analytical solution from Terzaghi’s one-dimensional consolidation theory and this study’s numerical simulation with mass conservation more easily predicted the self-weight consolidation behavior of dredged soft soils than the non-linear finite strain consolidation theory.