Results on generation of an electromagnetic pulse on a spacecraft under the action of X-ray and gamma radiation are described. The computational technology used is based on a hierarchical system of mathematical models constructed on a system of the Maxwell-Vlasov equations and spacecraft models that rather accurately describe all physical processes typical of origination of secondary electromagnetic fields and the object geometry. It is shown that polarization components of the electric field, which are directed normal to irradiated surfaces, depend weakly on geometric factors and are mainly determined by the photon radiation flux density. Formation of the magnetic field is determined by the dynamics of variation of the first derivative of the dipole moment of the electron layer formed owing to emission of particles under the action of ionization radiation and depends on the object shape, characteristic size of the irradiated surface, and spacecraft attitude.Introduction. Irradiation of any object by intense fluxes of penetrating radiation leads to emission of electrons from the outer and inner surfaces of the object and to emergence of a system-generated electromagnetic pulse (SGEMP), which can deteriorate radioelectronic equipment [1][2][3][4][5]. Spacecraft with large amounts of microprocessor equipment in control and communication systems can be especially sensitive to the action of electromagnetic fields. Because of the specific features of their operation, these systems cannot be reliably protected and rapidly replaced upon their damage.Experimental investigations of the SGEMP in spacecraft are extremely complicated and require large (next to impossible) material and time expenses. In this case, a large portion of research is performed with the use of computational experiments based on mathematical models of generation of electromagnetic fields with allowance for formation of powerful electron fluxes under the action of photon radiation. Origination of an electromagnetic field due to the motion of charged particles is known to be described by the Maxwell equations. Their solution can be obtained by the simplest way if the currents are independent of electromagnetic fields. Nevertheless, the electron-flux dynamics determines the evolution of electromagnetic fields on one hand and depends on the latter on the other hand, because the generated fields substantially change the motion of charged particles. In this case, the evolution of electromagnetic fields and the motion of charged particles should be considered in a self-consistent manner on the basis of the Maxwell-Boltzmann equations.A hierarchical system of mathematical models developed for studying secondary electromagnetic effects (SEME) is described in [6]. This system consists of self-consistent one-and two-dimensional models on the basis of the Vlasov-Maxwell equations and a three-dimensional electrodynamic model based on the Maxwell equations. Yet, the mathematical model is determined not only by the system of equations with initial and boundary cond...