The paper presents a novel single-phase, single-way, current-source rectifier. This is based on the cascade combination of a diode bridge rectifier and a current-source Cuk power convertor. The supply current can be sinusoidally waveshaped with suppressed resonance by an appropriate switching strategy, whereas a parallel inductance-capacitance circuit of a conventional form excites the resonant frequency. Furthermore, step-up and step-down characteristics of the output current and near-unity power factor operation can be obtained. To predict steady-state and transient characteristics of the rectifier with a digital PI controller, rigorous and approximate state-space analyses are introduced. The experimental and predicted results confirm the usefulness of the rectifier presented.