A control device of a work positioning apparatus includes an operating limit line storage unit for storing position coordinates of an operating limit line, a speed reduction zone storage unit for storing a width of a speed reduction zone ranging from a reduction start position to the operating limit line, a check point storage unit for storing position coordinates of check points set in the work, a check point updating unit for determining position coordinates of the check points moved in accordance with an operation of the work positioning apparatus by calculation, an in-speed-reduction-zone determining unit for determining whether the check points enter the speed reduction zone in accordance with the updated position coordinates of the check points, and a work positioning apparatus control unit for instructing a work positioning apparatus motor to reduce a speed if the check points are determined to enter the speed reduction zone.