A fractional-N frequency synthesizer having a cancellation system for phase discontinuity due to loop gain changes may include a phase detector, a current-changeable charge-pump, a loop filter for providing a tuning signal, a voltage-controlled oscillator (VCO) controlled by the tuning signal for providing a VCO output signal, a divider for providing a divided VCO signal, a modulator for generating a modulating signal for fractional-N functionality, wherein the phase detector has a first input for receiving a reference signal oscillating at a reference frequency; a second input for receiving the divided signal; and the phase detector and charge-pump is configured to compare a phase of the first input and a phase of the second input, and generate a charge-pump current on and off, featuring that the cancellation system is implemented inside the modulator having an additional input defined by the changeable charge-pump current values.