Elastic deformations of porous media have been discussed by theory of poroelastic which behavioral model, fluid pressure, and elastic displacements of porous media are considred. When a porous material deform, its volume may change which leads a variation in confined fluid pressure. Soil is one of the poroelastic materials that mass soil volume reduction can be due to the rearrangement of particles along with expulsion of air and water from porous soil mass. Thus the deformation of solid phase and fluid phase pressure depended on each other. This means the solution of consolidation equations is involved with solving storage equation as well as equilibrium equations. In this way the fluid phase pressure and deformation of porous media are calculated simultaneously. As the concurrent solution of coupled consolidation equations is a formidable task, it is common to calculate pore pressure independently and then using pore pressure in order to calculate consolidation deformations. To derive uncoupled consolidation equations some assumptions are considered in coupled consolidation equations that these assumptions can make some changes in the analysis of consolidation results. The main goal of this study is to investigate the consolidation of saturated porous media. In this context the solution of coupled and uncoupled consolidation equations are considered and discussed rigorously. A computer program based on MATLAB software computer programming was then developed by which a two dimensional poroelastic soil mass may be modeled to solve both coupled and uncoupled consolidation equations. Using the software several parametric studies were made and the results from both the two approaches were compared. Furthermore, the results have been presented and compared in axisymmetric and plain strain conditions. As an important result of this study, a good agreement was found in the procedures of coupled and uncoupled consolidation analysis results in plain strain and axisymmetric conditions. This presents an indication that uncoupled consolidation analysis may be used to evaluate consolidation of porous media at certain conditions. Key Words: Poroelastic, Finint Element Method, Consolidation Theaory, Plain Strain, Axisimmetric.