Thermal stressed state of massive concrete and reinforced concrete structures during the building period is characterized by the risk of large tensile stresses that can lead to the temperature cracks and affect the whole structure integrity. For the crack resistant constructions, such defects are unacceptable. The concrete hardening process is accompanied by a large amount of heat release due to the cement hydration reaction. The most dangerous cases are those, which cause the nonuniform temperature distribution over the body of the block. Significant gradients can lead to stresses exceeding the stresses from operational loads. On top of that, there are factors also affecting the thermal stress state such as ambient temperature fluctuations, solar radiation, the block cooling velocity, initial and boundary conditions, the stiffness of the basement. The last factor is the subject of research reflected in the current work. The article found that ignoring the ground base deformation characteristics may lead to a significant crack resistance overestimation during the design of concrete curing measures. By the calculation, the direct dependence between concrete cracking in the foundation slab and the basement stiffness was revealed: the larger stiffness, the more intensive crack propagation. It is shown that the influence degree depends on the construction thickness: there is the decrease of sensitivity with the larger block thickness, when the thing concreting block is more susceptible to this effect.