This paper presents a model predictive platoon control method for connected hybrid electric vehicles (CHEVs) to improve the safety, fuel economy, and riding comfort of CHEVs. First, the model of platooning CHEVs is established to describe the nonlinear and discrete characteristics of CHEVs, which consists of engine model, motor model, battery pack model, vehicle longitudinal dynamic model and so on. Then, a model predictive controller(MPC) for platooning CHEVs is proposed, a robust prediction model is build based on feedback correction to compensate the prediction state error caused by model mismatch and improve the accuracy and robustness, and the control increment in each sampling period is set as the control variable in the cost function to avoid the sudden change of the control variable that will be prone to poor control results and unfeasible solutions. Next, the dynamic coordination control rules between the power sources of CHEVs are presented. Finally, the results show that the proposed MPC platoon controller can improve both fuel economy and riding comfort of CHEVs meanwhile explicitly satisfying the tracking capability.