Abstract: Starting from the governing equations of asymmetric consolidation of soil with compressible constituents, together with the intermediate variables, the technique of Fourier expansions with respect to coordinate θ, Laplace-Hankel transform with respect to time t and coordinate r, two sets of uncoupled transfer matrixes of 6 order and 2 order for a single layer soil with compressible constituents are acquired after using the displacement functions suggested by Schiffman and Fungaroli. Based on the continuity and the boundary conditions, the transfer matrix method is utilized to derive the uncoupled solution for the multi-layered soil with compressible constituents in the transform domain. By the inversion of the Laplace-Hankel transform, the solution for the consolidation of a multi-layered soil with compressible constituents in the physical domain is obtained. Numerical analysis is carried out by the computer program, and the effect on the process of consolidation for the compressibility of pore fluid is also discussed.