To be able to get a good, reliable and quality calculation of the building foundation and be sure that we will not have problems with their stability, we must, other than the dimensioning of the shape, amount of reinforcement and type of foundation, solve well the interaction between the building foundation and foundation soil at all stage of building. Because of the complexity of the mechanical characteristics of the soil, it is necessary to introduce certain simplifications in the calculation of the interaction be-tween the foundation and the foundation soil, otherwise the problem would be unsolvable, or the obtained results would require unrealistically expensive solutions. For all those reasons, the largest number of solutions has been developed for the soil as a homogeneous, linear elastic and isotropic half-spatial. These simplifications and computer programs enable us the use of numerical methods in the calculation of the stresses and settlement of foundation beams. Many scientific papers have analyzed the resolution of these calculation by different numerical methods, while in this paper focus is on analytical methods of single-parameter and two-parameter soil, as well as comparing results with the results obtained by the numerical method in the computer program of Tower 8.0 Demo and analytical method in the computer program “Greda” from a program package for solving geotechnical problems GEO5 2020 Demo.