A sheet conveying device that makes it possible to perform printing at high speed with high accuracy by easily correcting skew of a sheet, such as an index tab sheet, without requiring troublesome operations. Sheet detection sensors for detecting a sheet and skew correction rollers for conveying the sheet are disposed in a direction crosswise to a conveying direction of the sheet. A skew correction drive controller measures a leading edge detection time between respective detections of a leading edge of the sheet by the sensors, and controls the conveying speeds of the skew correction rollers independently of each other such that a skew represented by the leading edge detection time is corrected. If the leading edge detection time is not smaller than a predetermined threshold value, the skew correction drive controller reduces a skew correction amount for correcting the skew by a predetermined amount.