Now discovered that a resonance rotating wave sustained by a rotating fluid jet can achieve a high level of agitation as required in washing devices. The rotating fluid wave is created by one or more constant flow rotating fluid jets that are rotating at a speed near the natural frequency of a wave in the washing chamber. The rotating fluid jets are produced by a pump mounted within a rotating nozzle housing within the main washing container. The nozzle housing with pump, flow passages and nozzles is rotated to produce the rotating fluid jets. Since only rotational motion is used to produce agitation with the resonant wave-jet agitator washing machine the mechanical components are greatly simplified as compared to a conventional oscillating motion washing machine.