<p>A plane contact problem of the interaction of rigid stamp with poroelastic rectangle lying on rigid foundation without friction was considered. There is also no friction and horizontal displacement on the side edges of the rectangle. The deformation of the rectangle was modeled based on the equations of the Cowin-Nunziato theory of poroelastic bodies. It was assumed that the stamp base has a flat shape and there is no friction in the contact zone. By representing the displacements of the rectangle in the form of a Fourier series, the problem was reduced to an integral equation with respect to unknown contact stress, which was solved by the collocation method. The values of contact stresses and the dependence of the force value, applied to the stamp, on its displacement were found. A comparative analysis of the studied values was carried out for some values of the parameters of the poroelastic rectangle. Numerical results are presented in the form of tables and graphs.</p>