The study aims to present new constants of ignition delay based on the Arrhenius model for two diesel fuel surrogates formulated from four components (n-Hexadecane, Heptamethylnonane, Decahydro-naphthalene, and 1-Methyl-naphthalene) as a function of temperature and pressure. When the combustion occurs in two stages, we detail the ignition delay of each stage, and it's first stage fraction are presented. Surrogate fuels showed 35 and 45 cetane numbers and 48 and 35 threshold soot index, respectively. The main application of these models relates to stochastic combustion models. The main differential of this study refers to its description of two stage combustion, if it occurs.