This paper presents a systematic analysis and design of a single-phase boost power factor correction (PFC) converter supplying an inverter-motor drive system. The PFC converter is a single-stage single-switch boost converter that uses a current shaping technique to reshape the non-sinusoidal input current drawn by the motor-drive system to a near sinusoidal waveform. The resultant is a current input with almost free-harmonics, which comply with the IEC 61000-3-2 limits, and a system operates with near unity power factor. The other function of the boost converter is to provide a regulated DC voltage to the inverter-motor system. The motor drive system incorporates a1-hp induction motor fed by a Pulse Width Modulation (PWM) inverter with open-loop voltage to frequency (v/f) control. This drive system is analyzed as a load across the converter and its equivalent resistance is extracted and used in the PFC controller design. The theoretical and experimental results are compared to validate the analysis.