Physical and mechanical properties of soils have spatial heterogeneities whose origins come from the complexity of the involved natural geological processes that lead to their constitution. This spatial heterogeneity is associated with an uncertainty on each of the parameters usually used to quantify the natural variability that represents the soil. In addition, this spatial variability (SV) of soils may lead to differential settlements that affect the nearby buildings due to the soil-structure interaction phenomenon, causing structural and functional damages. The target of this study is to investigate the influence of natural variability of soil properties on the evaluation of the transmission of ground movements caused by tunneling and mining subsidence to nearby structures, whose consequences on structural response can be risky and dangerous. A probabilistic study is done using an analytical approach developed through Mathematica, coupled with a numerical model developed through GOCAD, to evaluate the uncertainties affecting the transmission of movements. In order to propagate geostatistical conditions to represent the soil, a modified Winkler model is developed where the soil is assimilated to a juxtaposition of elastic springs characterized by a particular stiffness value for every spring according to the SGS (Sequential Gaussian Simulation) method. Results reveal the effect of considering this uncertainty on the transmission ratio that specifies the building displacement in response to the ground movement.