A dual input clutchless transmission system based on automated manual transmission (AMT) structure is proposed for pure electric vehicles. In order to fully exploit the potential of the powertrain system, an energy management strategy (EMS) is developed to determine the power distribution between two motors and the optimal gear state. A mathematical model is built to minimize the energy consumption of the motors at each instant based on the motor efficiency maps. However, the proposed EMS in line with other energy oriented strategies often lead to excessive gear shifting and compromised drivability. To avoid the undesired gear shifting, a shifting stabilizer is built in the EMS objective function to improve shifting quality. Accordingly, to achieve a balance between the energy consumption and the drivability, a multi-objective optimization method is adopted to reduce the unnecessary shifting events while minimizing energy consumption. Two driving cycles representing typical daily driving conditions are used to demonstrate the effectiveness of the proposed system in terms of energy efficiency and shifting stability.