The dissertation is devoted to solving the actual scientific and technical problem of the creation of promising working processes of spark ignition engines with internal mixture formation with the provision of limit expanding of effective fuel and air charge depletion through organizing of efficient interrelation between gas exchange processes, mixture formation and combustion what create conditions to increase economic and environmental indicators. The object of the study is the processes of gaseous exchange, mixture formation and combustion in а spark ignition engine. The subject of this research is the working process indicators of the engine with spark ignition and stratification of fuel-air charge when the design and adjustment parameters of the internal combustion engine (ICE) change and the different types of fuel use. The basic theoretical and experimental researches are based on the fundamental provisions of the ICE theory, the basic thermodynamics and gas dynamics laws with the use of mathematical and physical modeling methods, and the methods of parametric identification of mathematical models. To investigate the actual processes occurring in the working cavities of two-stroke ICE and the fuel system, an experimental-statistical method for processing signals of the measuring equipment on the basis of the least squares method (LS method) is used. For theoretical researches it is used the thermodynamic method of calculation based on the energy conservation equation, mass, state equation and volume variation in engine working cavities; thermodynamic method of volume balance; gas-dynamic method for calculating the three-dimensional current of the working fluid in the working cavities of the ICE. Gas-dynamic method is modeled using 3-D gas-dynamic model in the AVL Fire software package based on the finite element method; 3-D model of gas dynamics based on the finite-element method and using the Euler method for integration of differential equations and created in the programming language C ++; 3-D model of the software system MTFS that allows us to investigate three-dimensional gas-dynamic processes by solving the Navier-Stokes equations when creating a solid-state engine design model in the SolidWorks software complex and constructing a hexahedral mesh model in MTFS near the hard boundary of the calculated the area. The scientific novelty of the obtained results is the further development of the fundamental provisions of the ICE theory according to the indicative and effective indicators of ICE which takes into account the loss of fuel share during cylinder bleeding, the proposed criterion of stratification of fuel-air charge that allow to determine the boundary of effective depletion of a charge in a cylinder of ICE with spark ignition; and the degree of stratification of the fuel-air charge, which allows to assess the perfection of the workflow process organization with the bundle of fuel and air charge, and the comprehensive methodology for creating promising working processes of ICE with spark ignition and internal mixture formation is proposed, which is based on calculation of the working process with the help of a one-zone thermodynamic model, where it takes into account the thermal physical processes of internal mixture formation, two-zone thermodynamic model what allows simultaneously to determine the parameters of the working body with the organization of a homogeneous composition of fuel and air mixture in the superconducting volume in the zone of combustion products and in the zone of fuel and air mixture, taking into account the real thermophysical properties in the modes of increased loads engine; three-zone thermodynamic model, which allows simultaneously to determine the parameters of the working body in the zones of combustion products, fuel-air mixture and air in modes of partial loads of the engine; the further development of a submodel for the calculation of the working process of ICE with spark ignition and internal mixing with the use of the refined mathematical model of the processes of dynamics and mass and heat exchange in the fuel jet allows to account for the peripheral distribution of fuel particles; the refined Woschni formulas of the heat dissipation for the combustion-expansion site between the gas and the walls of the superconducting cavity of a two-stroke engine with spark ignition, crank-chamber blowing and air cooling when organizing of the layered depleted fuel-air charge. The results of this dissertation work are used at the Ukrainian manufacturing enterprises, in particular, the Hydromash PEMP, Motor Sich JSC and others, as well as in the educational process of the UrkSURT and KhNAHU. The results of the dissertation can be used to develop new spark ignition engines and to modernize designs of exciting ones, which are used in mobile equipment as a mechanical drive and a drive of electric generators in hybrid plants.