A multi-mode multi-band power amplifier includes a controller, a wide-band amplifier channel and a fundamental impedance transformer. The controller receives an external signal and outputs a control signal according to the external signal. The wide-band amplifier channel receives single-band or multi-band RF signals through the input terminal, performs power amplification on the RF signals and outputs the RF signals through the output terminal. The fundamental impedance transformer includes a first segment shared by RF signals in all bands, second segments respectively special for RF signals in all bands, and a switching circuit controlled by the controller to separate RF signals subject to power amplification to the second segment in a switchable manner for multiplexed outputs.