An air flow measurement apparatus includes an air flow sensor for outputting an air flow signal indicative of detected air flow, a reference voltage generator for outputting reference voltage signals, a multiplexer for sequentially selecting the signals in a predetermined order, an A/D converter for converting the signals into digital data in an order selected by the multiplexer, and a signal processing unit for applying correction processing to air flow voltage data corresponding to the air flow signal using reference voltage data corresponding to the reference voltage signals. The signal processing unit has a sampling timing setting section for determining sampling timings at which the A/D converter samples the signals in such a manner that the sampling timing at which the air flow signal is sampled is interposed between the sampling timings at which successive two of the reference voltage signals are sampled.