Multi-lump kinetic models for model compounds representative of various sulfur (S) and nitrogen (N) compounds in coker gas oil (CGO) were developed to describe CGO hydrodesulfurization (HDS) and hydrodenitrogenation (HDN) processes, respectively. Model parameters were obtained from fitting of operating data. Validation results revealed that models could predict contents of S and N in products accurately, and hydrogen consumption of HDS and HDN can be estimated. The effects of the temperature, hydrogen/oil ratio, and pressure on the reaction performance were also investigated.