A power tuning method determines values of a magnitude control signal that controls the magnitude of an amplitude-modulated power supply signal applied to a power supply port of a power amplifier of a polar transmitter and an amplitude control signal that controls the amplitude of a constant-envelope phase-modulated signal applied to a radio frequency input port of the power amplifier necessary to set the output power of the polar transmitter to a target output power. The method is repeated and performed for a plurality of different target output powers. Output-power-level dependent power control parameters calculated from the applied method are used to set the values of the magnitude control and amplitude control signals during normal operation. Using the output-power-level dependent power control parameters, the magnitude control and amplitude control signals are changed in a continuous manner with changes in output power and over the full dynamic range of output powers the polar transmitter can be commanded to operate, thereby obviating any need for a closed-loop power detection mechanism to correct for power discontinuities.