Longitudinal vortex formed at the rear area of the vehicle is one of the main sources of vehicle aerodynamic drag. The boat tail shape is applied to reduce the longitudinal vortex strength of the SUV so that the aerodynamic drag is improved. For this study, a commercially available SUV produced by domestic automobile company, Hyundai Motor Company, is selected as a baseline model. The boat tail shape is modeled on the baseline model using the morphing technique. The effects of boat tail shape on the aerodynamic drag has been numerically analyzed for a SUV with or without undercover. A commercial flow solver, ANSYS Fluent, is used for this study. The driving speed of SUV is 140 km/h. Even though the same boat tail shape is applied to the same vehicle, the aerodynamic drag improvement depends on the flow pattern behind the vehicle. It can be improved when the strength of the longitudinal vortex is weakened by the airflow generated by the boat tail shape.