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Provided are : a rare-earth magnet capable of achieving a large amount of magnetic flux without using a back yoke; and a linear motor employing a rare-earth permanent magnet as a movable element. This rare-earth permanent magnet-forming sintered compact for forming a permanent magnet is made by being integrally sintered and molded into a predetermined three-dimensional shape having a lengthwise cross-sectional shape including : a first surface extending in the length direction; a second surface located at a distance from the first surface in the thickness direction and extending in the length direction; and end surfaces at respective end sections in the length direction. In this sintered compact, the axis of easy magnetization of magnet material particles included in a central region is arranged so as to be oriented along an arch-shaped path. In a first end-section region, the axis of easy magnetization of the magnet material particles is arranged so as to be oriented along a path that enters from the first surface, passes through the interior of the sintered compact and is directed toward the second surface. In a second end-section region, the axis of easy magnetization of the magnet material particles is arranged so as to be oriented along a path that enters from the second surface, passes through the interior of the sintered compact and is directed toward the first surface.