Abstract <p>The results of experiments on tuning the aerosol block of the INMCM6 model for correctly reproducing the temperature response to volcanic emissions of sulfate aerosol are presented. Calculations are carried out using the INMCM6 earth system model for the period from 1979 to 1995, during which two explosive volcanic eruptions occurred: El Chichon in 1982 and Pinatubo in 1991. Time series of the volume concentration and the effective radius of sulfate stratospheric aerosol are specified according to the SADS v. 3 database. Based on these data, the optical properties of sulfate stratospheric aerosols (SSAs) are calculated and then averaged for the wavelength intervals used in the radiation block of the INMCM6 climate model. In a series of model ensemble experiments, optical properties of SSAs are varied in order to most realistically reproduce the temperature response of the climate system to volcanic action—cooling near the surface and heating of air in the stratosphere. If we do not take into account the absorption of long-wave radiation by the SSAs, then as a result of adjusting the short-wave optical parameters of the SSAs, it is possible to reproduce with good accuracy (when compared with the ERA5 reanalysis data) the time course of the global optical thickness of the SSAs and the amplitude of the warming of the lower stratosphere and the cooling of the lower troposphere. It is revealed that, in the INMCM model, the absorption of shortwave radiation by the SSA at wavelengths of 1–2 μm has the greatest influence on the magnitude of stratospheric warming.</p>