A model for Hybrid electric vehicle power train with parallel hybrid braking system has been constructed. The hybrid vehicle utilized is based on integrated motor assist power train developed by Honda co utilized in Honda Insight car. The model is implemented using empirical formulation and power control schemes. A power control strategy based on throttle position (% throttle) and brake pedal position (% braking) is used. It incorporates the parallel hybrid braking system for the hybrid electric vehicle. The model allows for real time evaluation of wide range of parameters in vehicle operation as HEV without parallel hybrid braking system (PHBS) and with PHBS. Due to regenerative braking the structure design and control of braking system for HEV is different from conventional vehicle. The PHBS is the good option to provide safety of the vehicle and simultaneously recover reasonable amount of braking energy. In this paper a model for HEV is developed and simulated to evaluate major performance parameters on three different approximate drive cycles (NYCC, HWFET and WVU5). The results provide that the PHBS regenerates more amount of energy during highway cycle then existing braking control strategy on the other hand on city cycle it recaptures less amount of energy then existing braking control strategy recaptures.