This paper provides a solution to the problem of determining the stresses in the wall of a cylinder with cryogenic filling. In order to decide the task, the method of calculating non-stationary thermal conductivity in the classical form is used, taking into account the method of finding thermoelastic stresses in the walls of pipelines under conditions of thermal shock. The effect of the cylinder wall thickness and the heat transfer coefficient in the gas cavity of the cylinder was investigated. Analysis of the data obtained allows us to conclude that stresses in the cylinder walls of various thicknesses throughout the entire process of cryoproduct regasification, caused by both thermal exposure and pressure in the cylinder, do not exceed the allowable stress, and the maximum equivalent stresses in the cylinder wall occur only at the initial moment of time. The increase in pressure stresses is compensated for by a decrease in thermal stresses due to the equalization of the wall temperature. As a result, a decrease in equivalent stresses leads to more favorable conditions for force effects in the cylinder wall. The results indicate that the heat transfer coefficient significantly affects the time of thermal exposure, while thermal shock leads to sharp temperature deformations and, accordingly, stresses. However, it should be noted that the voltage level is also lower than with compression refueling.