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A transmission mechanism applicable on a motor on a motorcycle for driving a wheel on the motorcycle, which comprises: an input shaft for inputting power to the motor; a multistage transmission gear box connected to the input shaft and transmitting the power of the input shaft; when the power of the input shaft generates an impulse to the transmission gear box, the transmission gear box converting the momentum into a stabilized impulse and outputting the impulse; and a non-step speed changer connected to the multistage transmission gear box and receiving the stabilized impulse and converting it into a momentum such that the power of the input shaft can be transmitted to the wheel thereby completing the rotation.