The kinetic modeling of thermal decomposition of C3O2 and formation of soot-like solid particles behind shock waves is carried out. The transformation of C atoms up to the cluster C-30 in the gas phase and the formation, growth, transfer, and coagulation of carbon solid particles are modeled with the help of a detailed gas phase kinetic scheme combined with a discrete Galerkin method. Together with the calculation of concentration profiles of small carbon clusters. precursors of solid panicles, soot-like solid particles, and fullerene-like solid particles, the temperature dependencies on the induction period, the growth rate constant, the yield, and the mean size of carbon solid particles are obtained for a mixture of 0.33 % C3O2 in argon for the following experimental conditions: A pressure of 5.0 MPa and a temperature range of 1200 to 2250 K. The comparison of these calculated values with the experimentally measured ones is performed and the possible pathways of transformation of C atoms from C3O2 to soot-like solid particles are analyzed.