The analysis of the possibilities of organization of low-emission associated gas combustion in the combustion chamber of a gas turbine engine with a capacity of 25 MW, which works as part of floating production, storage and offloading (FPSO) system is carried out. One of the significant problems that solved when using the gas turbine technology at FPSO is to satisfy the international environmental requirements, especially for emissions of toxic components, such as carbon and nitrogen oxides. An effective way of organizing a workflow in a gas turbine low-emission combustion chamber operating on different gaseous fuels is proposed. In order to increase the efficiency of the processes in the gas turbine chamber, it is proposed to use the ideas of pre-mixing of gaseous fuels with air in axial-radial swirlers, as well as significant leaning of the fuel-air mixture in the volume of the combustion chamber. A mathematical model of a low-emission gas turbine combustion chamber has been developed, which allows predicting the environmental parameters of a fuel-burning device when using associated gas. Three-dimensional mathematical model of gaseous fuels combustion in a low-emission gas turbine combustion chamber contains the following equations: continuity, conservation of momentum and energy, transfer of chemical components, formation and decomposition of nitrogen oxides. The obtained results showed certain deterioration in the environmental parameters of the combustion chamber when switching from natural to associated gas and the need for further modification of the combustion chamber with lean and partially premixed mixture of fuel and air when using associated gas on the FPSO vessels.