An electric bicycle motor power control apparatus performs a linear program for a compensation signal through a linear computation module according to the data such as exercise strength and pedaling angle of a user pedaling a bicycle, and transmits the signal to a proportion and integration module for computation to provide a stable input power to a motor, so as to achieve the effects of controlling the motor output, minimizing the change of periodical output while the user is pedaling the pedal, and providing a mild and consistent motor output.