Control-oriented models are often required for developing and validating the corresponding engine control strategies. In this paper, a crank-angle-resolved (CAR) engine model is first developed for a dual-mode turbulent jet ignition (DM-TJI) engine based on the previous developed combustion model for a rapid compression machine (RCM) with a conventional turbulent jet ignition (TJI) system. Different from the RCM, the DM-TJI engine uses liquid fuel in both combustion chambers. To simulate the fuel vaporization process in the pre-chamber, a liquid fuel vaporization model is developed. Thereafter, a nonlinear state-space engine model with cycle-to-cycle dynamics is developed based on the CAR engine model. The CAR engine model is validated using experimental data from a single cylinder DM-TJI engine at different operational conditions, and the simulation results match the experimental data very well. Then the validated CAR model is used to validate the state-space engine model. The simulation results of the two engine models show a good agreement with experimental ones.