On the basis of the thermal approach, a mathematical model of the optical breakdown on condensed inclusions exposed to pulsed laser radiation is developed. As individual stages of the process, we consider the particle heating and evaporation, the formation of a vapor aureole and its ionization, as well as the propagation of shock waves in the space surrounding the particle. The threshold characteristics of the laser-beam parameters sufficient for initiating an optical breakdown on metal and dielectric particles, as well as on dielectric liquid drops are determined.The presence of particles having fairly low values of the vaporization temperature and ionization potential leads to a decrease in the threshold values of the optical breakdown compared to the breakdown threshold in a pure gas [1,2]. The search for conditions under which a decrease in the threshold value of the laser-pulse intensity is possible is of interest for both laser initiation of processes and radiation transportation through explosive mixtures.To construct a model of the laser-radiation interaction with a particle, the explosive and thermal approaches are used. In the first approach, the particle, being inertially attached, during a pulse manages to absorb energy sufficient for its complete evaporation. At high energy concentrations, the particle is heated so fast that the condensedphase substance acquires the parameters of the overheated metastable state and passes to vapor by way of explosion. The thermal approach is based on a more detailed consideration of such elements of the processes as heating, evaporation, and ionization of the vapor cloud.The role of explosive evaporation in the decrease in the optical breakdown threshold is discussed in [3]. For solid particles the breakdown mechanisms are realized in the material vapors at T , 10 4 K. For water droplets with r p = 50-200 µm the process of explosive evaporation proceeds at lower temperatures T v , 10 3 K. As a mechanism initiating optical discharge, the shock waves resulting from the droplet expansion and the high pressure inside it (p >10 3 atm) are considered.In [4], the explosive mechanism of the laser-radiation interaction with a water droplet is described. Rather long pulses (t i ≤ 300 µsec) and comparatively large drops (r p = 100-200 µm) at Q , 1 J are considered. The explosive evaporation of the droplet is explained by the appearance and growth inside it of vapor bubbles when the liquid temperature reaches the value of the explosive boiling temperature (for water at normal pressure it is equal to 578 K). In [5], the following reasons for the decrease in the breakdown threshold to the values of I * = 10 7 -10 8 W/cm 2 in the presence of water droplets are considered: 1. The thermal explosion of the particle, the condition for which is the absorption by the particle of energy exceeding the heat of its evaporation in a time shorter than the time of travel of sound through its cross section.2. The thermal ionization of the gas on the shock wave arising from the particle explosion...