The aim of the work was to simulate aerosol coating of sugar crystals with stevioside to create a product with a reduced calorific value based on the sweetness equivalent to sucrose. Research methods used -experimental physicochemical analysis of properties of stevioside solutions and solubility of sucrose in aqueous stevioside solutions; mathematical modeling of kinetic equations of sucrose dissolution in an unsaturated aqueous film on crystals; numerical analysis of differential equations models with lumped parameters for the evaluation of process of dissolution of sucrose ina film on crystals. Results achieved: experimental estimates of the refractive index were obtained at T = 298 K for aqueous c = 0-65% and ethanol c = 0-54% stevioside solutions, as well as for aqueous stevioside solutions in the temperature range T = 288-333 K and the following parameters: density c = 10-70%, dynamic viscosity c = 30-65%, surface tension c = 65%, temperature dependence of the activation energy of viscous flow c = 30-65%, solubility of sucrose from the concentration of stevioside c = 5-50%, surface tension coefficient of water-sugar solutions for c = 0.3-30 mol/m(3) stevioside and c = 30-66% sucrose. The design scheme of the apparatus for aerosol coating of sugar crystals with stevioside is shown.