We computed the primary soot particle formation in a shock tube with the gasoline surrogate fuel (GSF) of toluene , n‒heptane and iso‒octane mixtures. The model with the method of moment consists of 233 species and 1375 reactions. Soot particle formation in pyrolysis and oxidation conditions (Φ=5, 10) were calculated. Based on our previous studies, we tried to adjust the reaction rate constant of acetylene addition reaction on the surface of soot particles, and optimize the model for gasoline surrogate fuel (GSF model). Further consideration for GSF model would be required about the temporal profile of soot yield.