The Advanced Light-Duty Powertrain and Hybrid Analysis tool was created by EPA to evaluate the Greenhouse Gas (GHG) emissions of Light-Duty (LD) vehicles. It is a physics-based, forward-looking, full vehicle computer simulator capable of analyzing various vehicle types combined with different powertrain technologies. The software tool is a freely-distributed, MATLAB/Simulink-based desktop application. Version 1.0 of the ALPHA tool was applicable only to conventional, non-hybrid vehicles and was used to evaluate off-cycle technologies such as air-conditioning, electrical load reduction technology and road load reduction technologies for the 2017-2025 LD GHG rule. The next version of the ALPHA tool will extend its modeling capabilities to include power-split and P2 parallel hybrid electric vehicles and their battery pack energy storage systems. Future versions of ALPHA will incorporate plug-in hybrid electric vehicle (PHEV) and electric vehicle (EV) architectures. This paper presents the power-split and P2 parallel hybrid electric vehicle models, which will be eventually integrated into ALPHA.This paper presents power-split and P2 parallel hybrid electric vehicle model as well as controls development and validation. The power-split and P2 parallel hybrid vehicle models were validated with 2010 Toyota Prius and 2011 Hyundai Sonata Hybrid vehicle data obtained from chassis dynamometer tests. The simulated fuel economy, engine torque/speed, motor torque/speed, engine on-off controls, battery voltage, current, and State of Charge (SOC) were in good agreement with the vehicle test data on a number of drive schedules.