A web conveying apparatus that conveys a web, includes: a transverse position displacement detection unit that detects a transverse position displacement of the web; a transverse position correction unit that corrects a transverse position of the web by a guide roller; width detection units that detect a width size in a left-right direction of the web; and a control unit that controls the transverse position correction unit in accordance with the transverse position displacement detected by the transverse position displacement detection unit and performs feedback control to position the web in a target position. The control unit changes a correction amount in the feedback control in accordance with the width size of the web detected by the width detection units.