An energy management strategy torque distribution and charge sustaining control for a parallel hybrid electric vehicle with continuously variable transmission is proposed in this study. The torque distribution control problem is formulated as a multi-objective nonlinear optimization problem. In order to facilitate the implementation of the proposed approach in real time, the aforementioned multi-objective nonlinear optimization problem is recast as a single objective linear optimization problem by linearization of the objective functions and by introducing an equivalent energy consumption rate for the fuel flow rate. Furthermore, a charge sustaining strategy is proposed and incorporated as part of optimal torque distribution strategy resulting in the establishment of the unified framework for energy management. In addition, the proposed approach incorporates a continuously variable transmission (CVT), where the gear selection strategy of the CVT is coupled with torque distribution and charge sustaining control. Computer simulation is performed to evaluate the proposed energy management strategy. The simulation results reveal that the approach proposed in this study offers significant computational advantage for real-time application without impacting the optimization results. Finally, through sensitivity analysis, the robustness of the solution to changes in the parameters of the objective functions is investigated.