The boost rectifier has wide utility owing to its usefulness for efficient operation. The single-phase discontinuous-conduction-mode (DCM) boost rectifiers are utilized with very simple control scheme for lower power applications. However, the DCM boost rectifier produces large harmonic-distortion of the input-current in lower output-voltage range. To overcome the problem, the author proposes a new control method for the input-current waveform on the single-phase boost rectifier applying pulse space modulation (PSM). The proposed control method, the space (area) or time-integral-value of the inductor- or the input-current in each modulation period is controlled, directory. Therefore, the single-phase boost rectifier realizes high quality input-current waveform with very simple algorithm.