<p>The novelty of the present work is connected with construction of the exact analytic solution of the three-dimensional problem of poroelasticity for a semi-infinite cuboid. In solving three-dimensional problems of poroelasticity, we encounter mathematical difficulties caused by the dimension of the system of differential equations that should be solved. Traditionally, these solutions are mainly obtained with the help of different numerical approaches. The proposed problem is formulated as a three-dimensional boundary-value problem in terms of Biot’s model, which considers the fully coupled behavior of a homogenized solid phase based on the structural skeleton and a homogenized fluid phase that describes the interpenetrating fluid. The analytic method of integral transforms is applied to get the solution. This makes it possible to obtain explicit expressions that describe the stresses formed in the skeleton and fluid pressure in the pores. The study of these characteristics is carried out depending on various poroelastic properties of the material and the types of applied loads. The obtained numerical results can be used for the engineering modeling of poroelastic structures, as well as the reference data in the development of new numerical methods for solving the problems of three-dimensional poroelasticity.</p>