An amplifier bias system and method has only reduced resonances at least throughout the envelope frequency of the signal to be amplified. Thus, the amplifier bias system can provide bias current to the amplifier with minimal voltage variations over the envelope frequency band, especially during signal peaks. For example, the amplifier bias system can be used as an amplifier gate or drain bias network where the amplifier bias system is coupled between the power supply and the gate or drain terminals of the amplifier. The amplifier bias system can include an amplifier bias filter having an impedance which is relatively low at least throughout the envelope frequency of the input signal and relatively high at radio frequency. Because the amplifier bias filter has an impedance which is relatively low through at least the envelope or baseband frequency of the input signal and relatively high at radio frequency (RF), the voltage will be relatively constant due to the low voltage drops over the bias network from energy within the envelope frequency band. To reduce the propagation of frequency components within the envelope frequency through the amplifier bias system, an energy handling device can filter energy within the envelope frequency, for example by acting as a short to ground for certain frequencies within the envelope frequency. For signal peaks within the envelope frequency, the energy handling device can provide current through the amplifier bias filter to the amplifier.