Provided are a disc chucking method of preventing mis-chucking from occurring according to a state and direction of a disc loaded onto a tray when the tray is closed, and a disc driving apparatus for performing the disc chucking method. The method include: opening a tray on which a disc in which a first magnet is installed is loadable; moving a feeding unit to a position where attraction between a second magnet installed in the feeding unit and the first magnet is relatively low; and if the tray is closed, placing a center of the disc in a turn table.