Soil stabilization and strengthening is a necessary complex of engineering measures and can be carried out by introducing organic or mineral substances into the soil which increases soil viscosity and its mechanical characteristics. Soil modification can also be accompanied by mechanical pressure, as well as temperature influence. Judging by the results of the analysis of the state of the issue, a hypothesis was formulated, according to which an improvement in the operational characteristics of the soil is possible as a result of the use of a stabilizer based on quicklime and an active mineral additive. The object of the study was light sandy loam. The experiment was carried out using mathematical planning methods with subsequent statistical processing of the results. The following are accepted as variable factors: the consumption of quicklime, the consumption of ground slag and the specific surface area of ground slag. The strength of the modified soil at the age 28 of hardening under laboratory conditions and its average density were taken as response functions. It was established that the introduction of quicklime and finely ground slag could significantly improve the operational characteristics of the soil as a result of analytical optimization of the obtained strength and density functions of the modified soil.