A disc driving device for accommodating a disc-type recording medium (for example, a floppy disc) that provides reliable chucking and centering of the disc-type recording medium. The disc-type recording medium that is accommodated in the disc driving apparatus has a hub with a center opening, a chuck hole at a predetermined distance from the center opening, and a recording disc attached to the hub. The disc driving device includes a disc table with a major surface for loading the hub, a spindle shaft for fitting in the center opening, a chuck member for rotation and fitting in the chuck hole, a spindle motor for rotating the disc table, a head for recording and/or reproducing information signals for the recording disc loaded on the disc table, a cartridge holder for moving the recording disc between a loading position and an unloading position, and a system controller for controlling the rotational velocity of the disc table. The system controller controls the spindle motor such that when the recording disc is moved by the cartridge holder to the loading position, the recording disc is rotated at a first rotational velocity during a first period adequate to insure reliable centering and chucking and subsequently at a second rotational velocity slower than the first rotational velocity.