Elementary processes in the atmosphere involving ozone, which lead to a reduction of the electric strength are considered. It is shown that elementary processes in the atmosphere under the action of an electric field lead lo ozone accumulation which, in turn, causes an increase of the electron density. Electrical breakdown of atmospheric air is considered lo be a result of the onset of kinetic instability. The threshold condition for this instability connects the background ozone number density and the electric field strength. This connection is derived on the basis of a simplified model which includes the processes of formation and destruction of both negative oxygen ions and ozone molecules. as well as the ionization of molecules by electron impact and mutual ion recombination. Evidently, the processes considered contribute to a reduction in the electrical strength of the atmosphere during thunderstorms.