Provided is a glass sheet conveying apparatus, which is configured to convey a glass sheet (G) in a state of being placed on a plurality of conveying belts (1) arrayed in parallel, and to move, by pressing rollers (2) arranged on a conveying path, the glass sheet (G) in a width direction orthogonal to a conveying direction, to thereby position the glass sheet (G). The glass sheet conveying apparatus includes an auxiliary supporting portion (3) for supporting, when positioning the glass sheet (G), a part of the glass sheet (G) supported from the bottom by the plurality of conveying belts (1) through use of a liquid layer (8) from the bottom in an auxiliary manner to reduce moving resistance of the glass sheet (G) in the width direction.