A constant current controller for a constant current power module, including: a demagnetization sensing unit, used for detecting the voltage variation of a detection signal to generate a discharging time signal having an active period corresponding to a secondary side discharging time, wherein the detection signal is derived from an auxiliary coil; a secondary side current sensing unit, used for detecting a peak value of a current sensing signal, and providing an output current according to the peak value of the current sensing signal under the control of the discharging time signal, wherein the current sensing signal is corresponding to a primary side current; and an error current generator, used for generating an error current according to the difference between the output current and a reference current, wherein the error current is converted to a threshold voltage by a first capacitor.