Electrical and Series Hybrid Vehicles are generally provided with single speed reduction gearbox. But to improve performance and drive range a two-speed gearbox with coordinated control of traction motor and gearshift actuator is proposed. For two speed gearbox, gearshift without clutch would increase the shifting effort. Active Synchronization is introduced for a smoother gear shift even without clutch. The shift quality is considered as a function of force and time taken. To further enhance the quality of the gearshift, the location of the synchronizer assembly in the transmission system is optimized. To validate the improvement in the quality of the gearshift, a high fidelity model of the two speed gearbox incorporating proposed location of synchronizer assembly along with active synchronization is developed. The qualitative and quantitative analysis of the results achieved is presented.