A sheet feeding apparatus has a pair of feeding roller and separating roller an inter-shaft distance changing mechanism for the pair of rollers, and sheet detecting means, and a sheet fed is rammed against the surface on which the feeding roller and the separating roller overlap each other to thereby correct skew feeding, and the feeding roller and the separating roller are moved away from each other to thereby feed the sheet. When the passage of the fed sheet between the feeding roller and the separating roller is detected the feeding roller and the separating roller assume a state in which sheet feeding is impossible. By the above-described operation being performed for each sheet, the correction of skew feeding and the separation of a sheet are effected by the feeding roller and the separating roller.