A sheet feeding apparatus, including: a sheet feeding mechanism; a sheet sensor for detecting, as a detection value, a physical quantity related to a fed sheet; a physical-quantity judgment section for judging whether the detection value falls within a predetermined range; an another-sheet judgment section for judging whether there is another sheet after a sheet to be judged by the physical-quantity judgment section; and a double-feeding judgment section for judging that double feeding has occurred when the physical-quantity judgment section judges that the detection value does not fall within the predetermined range and when the another-sheet judgment section judges that there is another sheet, and judging that the double feeding has not occurred when the physical-quantity judgment section judges that the detection value does not fall within the predetermined range and when the another-sheet judgment section judges that there is no another sheet.