There is described a sheet feeding apparatus having a stacking tray on which sheets are stacked, a first sheet feeding rotary member for supplying a sheet from the stacking tray, and a second sheet feeding rotary member for feeding the sheet from the first sheet feeding rotary member toward a predetermined processing position. The feeding apparatus has a control for rotating the second sheet feeding rotary member for a predetermined time during the feeding of a preceding sheet, for stopping the preceding sheet with a trailing end thereof being retained in a nip of the second sheet feeding rotary member and then for rotating the second sheet feeding rotary member with a leading end of a next sheet being inserted into the nip to feed the preceding and next sheeets simultaneously.