A wafer producing apparatus includes: an ingot grinding unit configured to grind and planarize an upper surface of an ingot held by a first holding table; a laser applying unit configured to apply a laser beam of such a wavelength as to be transmitted through the ingot to the ingot, with a focal point of the laser beam positioned at a depth corresponding to the thickness of a wafer to be produced from an upper surface of the ingot held by a second holding table, to form a peel-off layer; a wafer peeling unit configured to hold the upper surface of the ingot held by a third holding table and peel off the wafer from the peel-off layer; and a carrying tray having an ingot support section configured to support the ingot and a wafer support section configured to support the wafer.