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This study proposes a motor-controlled torque-vectoring differential equipped with electric hybrid functionality, hereinafter referred to as H-TD (Hybrid Torque-vectoring Differential). The mechanism of H-TD consists of an open differential, a planetary gearset, an electric motor, a clutch brake, and a clutch. The main difference between H-TD and preciously published TVD (Torque Vectoring Differential) systems is that it uses the electric motor to be able to not only distribute torque between output shafts, but also provide additional hybrid power. Hence, H-TD provides the possibility to integrate multiple functions into a single system. Furthermore, H-TD can be utilized in both hybrid electric vehicles and electric ones. Firstly, the constitution of H-TD mechanism is introduced, and three operation modes of the system, control strategy, as well as the dynamic models for the system are presented.