The present invention relates to a sheet conveying apparatus, which includes a first conveyance unit configured to convey a sheet, a second conveyance unit configured to convey the sheet received from the first conveyance unit, a sheet detection unit configured to detect an edge position of the sheet in a lateral direction intersecting a sheet conveyance direction of the second conveyance unit, a sheet shifting unit configured to shift the sheet conveyed by the second conveyance unit in the lateral direction, a computing unit configured to compute a difference between the sheet edge position detected by the sheet detection unit and a reference position, a position correction unit configured to control a shifting amount of the sheet to be shifted by the sheet shifting unit based on the difference computed by the computing unit in order to correct a position of the sheet in the lateral direction, and a conveyance interval control unit configured to shorten a sheet conveyance interval of the first conveyance unit when the difference computed by the computing unit is equal to or less than a predetermined amount.