The invention relates to a method for recovering absorbed hydrocarbon components while absorbing acid gases from technical gases, as for example a natural gas, by means of physically active absorption agents, wherein the inventive method consists in increasing the pressure of a loaded absorption agent extracted from an adsorption device, in adding said loaded absorption agent to the top of a rectification column which consist of a lower feeding stove and of one or several lateral stoves operating at a pressure slightly greater than the absorption column pressure, in adjusting an equilibrium is said rectification column in such a way that the acid gas concentration in the absorbent agent increases in the direction away from the bottom of the column and the hydrocarbon concentration decreases in said direction, in extracting a heated hydrocarbon-poor and acid gas component-rich absorption agent from the bottom of the column and in transferring said agent to an acid gas desorption device, in extracting a hydrocarbon-poor and acid gas component-rich recycling gas from the top of the rectification column, in cooling said recycling gas in a recycling gas cooler to a temperature of a service gas directed in the absorption device and in transferring said recycling gas directly to the absorption device or in mixing it with the service gas.