A sheet conveying apparatus for conveying a sheet along a sheet path, has a skew detecting unit for detecting the skew of the sheet being conveyed, a skew correcting unit rotatable in a direction to correct the skew of the sheet in a state nipping the sheet in its skew state, on the basis of a detection signal from the skew detecting unit, a position correcting unit for moving the skew correcting unit in a direction intersecting with the sheet conveying direction, and a controller for controlling so as to move the skew correcting unit in the direction intersecting with the sheet conveying direction by the position correcting unit while conveying the sheet by the skew correcting unit, in order to convey the sheet in a state coincident with the sheet conveying direction when the skew correcting unit is rotated to correct the skew of the sheet and convey the sheet in the rotated state.