An electric oil pump (EOP) must be used to supply oil for actuators in the hybrid continuously variable transmission (CVT) on the launch state of vehicle. To develop this EOP, the current CVT-based hybrid schemes and the use of EOP on traditional automatic transmissions are analysed. Permanent magnet synchronous motor (PMSM) type is chosen as the power source of the developed EOP for its advantages of high efficiency and long-life cycle. The PMSM EOP motor is designed and simulated by ANSYS EM. Based on the parameters of the simulation results, the sensor-less speed controller of the EOP is designed. Then, the model of the EOP and its load CVT hydraulic system are established by Simulink and AMEsim, respectively, for joint simulation. The simulation results show that the EOP can respond to the speed command request quickly, and when the load of the hydraulic system changes it also can keep the speed stable. Finally, based on the developed prototype of EOP and hybrid CVT, the correctness of the developed EOP and its sensorless speed controller are verified by bench test.