A method for low-emission incineration of waste gases, particularly of low calorific value in combustion chambers of industrial power equipment, in the course of which a mixture of waste gas, high calorific fuel and air is subjected to combustion in a system comprising a supply air chamber, a combustion system with four sections (3, 4, 5, 23) connected in series, waste gas feeder, high calorific value gas feeder, control butterfly valves (16, 17, 18, 19, 20, 21), high calorific value gas nozzles, waste gas nozzles (6, 7, 8), pilot burner, air heater, temperature sensors and control device, characterized in that the air chamber is supplied with a continuous stream of air at a rate of 20 m/s and a temperature of 0 - 600°C, preferably above 300°C, which is subsequently delivered to the first combustion section, where the air velocity increases to approximately 80 m/s and where it is mixed with high calorific value fuel supplied at a rate of up to 25 m/s, preferably at 15 m/s, via at least one nozzle, afterwards the mixture is ignited by means of at least one pilot burner, which initiates and sustains the flame, and the resulting hot flue gases heat the next sections of the combustion system, and when the temperature measured on the walls of the combustion system, in the third section of the combustion system, exceeds 550°C, the first section of the combustion system is supplied via at least one nozzle with waste gas at a maximum rate of 25 m/s, preferably 15 m/s, in a maximum amount of 30%, preferably 17% of the total waste gas stream intended for combustion, which mixes with the burning flue gases generated from high calorific value fuel, and when the temperature measured on the walls of the combustion system in the third combustion section exceeds 650°C, the second combustion section is supplied, via at least one nozzle, with waste gas at a maximum rate of 25 m/s, preferably 15 m/s, in a maximum amount of 50%, preferably 33% of the total waste gas stream intended for combustion, and afterwards, when the temperature measured on the walls of the combustion system in the third combustion section exceeds 800°C, the partially burnt gases from the first and the second sections (3 and 4) are fed into the third section of the combustion system at a maximum rate of 120 m/s, preferably 90 m/s and is set to contain air in an amount approximating that needed for stoichiometric burning of high calorific value gas and waste gas supplied in the first, second and third section (3, 4 and 5) of the combustion system, the remaining portion of the waste gas stream is fed via at least one nozzle at a maximum rate of 100 m/s, preferably 80 m/s, and a maximum amount of 75%, preferably 50% of the waste gas stream, in the fourth combustion section, and then the last portion of air is injected via at least two nozzles located on the walls of the combustion chamber, at a maximum rate of 200 m/s, preferably 100 m/s and a temperature of 0 - 600°C, preferably above 300°C, in a maximum amount of 50%, preferably 30% of the total air stream introduced into the combustion process, while the temperature of the flue gas discharged from the combustion system is at least 800°C and does not exceed 1300°C, the combustion chambers being at a negative pressure of approximately 0.1 kPa.