A power supply damping circuit (22) coupled across the leads of a power supply (20) is able to substantially damp or reduce the resonant response of the power supply and any associated noise, ringing, or oscillation produced by the power supply. The power supply damping circuit (22) provides a low value real impedance in parallel with the power supply (20) as a means of damping the power supply resonance circuit. The power supply damping circuit (22) includes a transconductance element (36) capacitively coupled across a power supply (20). A bias control (54) provides a bias current to the transconductance element (36) to set the static current of the transconductance element (36).