An amplitude-stabilized third-order predistortion circuit includes a main cell having a differential input for receiving a differential input voltage, a differential output for providing a differential output voltage, and a load control input for receiving a load control voltage; a plurality of replica cells having a differential input for receiving a differential level of peak input voltage, a differential peak output voltage, and a load control input; and a plurality of control circuits coupled to the differential outputs of the replica cells, and driving the load control inputs of the replica cells and the weighted inputs of a signal combiner driving the load control input of the main cell. The main cell and the replica cells each include a cross-coupled differential cell having a variable load. The control circuit includes a first amplifier for generating a single-ended peak signal and a second amplifier for generating the load control voltage from the difference between the replica cell single-ended peak output signal and a single-ended peak reference signal.