A link actuating device comprising: a proximal end side link hub; a distal end side link hub; and three or more link mechanisms which connect the distal end side link hub to the proximal end side link hub such that alteration in posture is allowed, wherein each of the link mechanisms includes: a proximal side end link member having one end rotatably connected to the proximal end side link hub; a distal side end link member having one end rotatably connected to the distal end side link hub; and an intermediate link member having one end and the other end rotatably connected to the other ends of the proximal side end link member and the distal side end link member, respectively, wherein each of the link mechanisms has such a shape that a geometric model of the link mechanism depicted in lines shows symmetry between a proximal end side portion thereof and a distal end side portion thereof with respect to an intermediate portion of the intermediate link member, wherein at least two or more link mechanisms among the three or more link mechanisms are each provided with an actuator which arbitrarily alters a posture of the distal end side link hub relative to the proximal end side link hub, wherein a revolute pair between the proximal end side link hub and the one end of the proximal side end link member, a revolute pair between the distal end side link hub and the one end of the distal side end link member, a revolute pair between the other end of the proximal side end link member and the one end of the intermediate link, and a revolute pair between the other end of the distal side end link member and the other end of the intermediate link each have a bearing interposed therein, wherein a control device which controls the actuator is provided, the control device performing work-time control for causing a determined work operation to be executed and performing, while the work-time control is stopped, grease circulation control for circulating grease sealed in the bearing, and wherein a maximum value of a bending angle (θ max), in the work-time control, being an angle between a central axis of the proximal end side link hub and a central axis of the distal end side link hub does not exceed a maximum allowable bending angle (θ' max), being a maximum value of the bending angle allowable in each mechanism, and a maximum value of the bending angle in the grease circulation control is greater than the maximum value of the bending angle in the work-time control and smaller than the maximum allowable bending angle. a proximal end side link hub; a distal end side link hub; and three or more link mechanisms which connect the distal end side link hub to the proximal end side link hub such that alteration in posture is allowed, wherein each of the link mechanisms includes: a proximal side end link member having one end rotatably connected to the proximal end side link hub; a distal side end link member having one end rotatably connected to the distal end side link hub; and an intermediate link member having one end and the other end rotatably connected to the other ends of the proximal side end link member and the distal side end link member, respectively, a proximal side end link member having one end rotatably connected to the proximal end side link hub; a distal side end link member having one end rotatably connected to the distal end side link hub; and an intermediate link member having one end and the other end rotatably connected to the other ends of the proximal side end link member and the distal side end link member, respectively, wherein each of the link mechanisms has such a shape that a geometric model of the link mechanism depicted in lines shows symmetry between a proximal end side portion thereof and a distal end side portion thereof with respect to an intermediate portion of the intermediate link member, wherein at least two or more link mechanisms among the three or more link mechanisms are each provided with an actuator which arbitrarily alters a posture of the distal end side link hub relative to the proximal end side link hub, wherein a revolute pair between the proximal end side link hub and the one end of the proximal side end link member, a revolute pair between the distal end side link hub and the one end of the distal side end link member, a revolute pair between the other end of the proximal side end link member and the one end of the intermediate link, and a revolute pair between the other end of the distal side end link member and the other end of the intermediate link each have a bearing interposed therein, wherein a control device which controls the actuator is provided, the control device performing work-time control for causing a determined work operation to be executed and performing, while the work-time control is stopped, grease circulation control for circulating grease sealed in the bearing, and wherein a maximum value of a bending angle (θ max), in the work-time control, being an angle between a central axis of the proximal end side link hub and a central axis of the distal end side link hub does not exceed a maximum allowable bending angle (θ' max), being a maximum value of the bending angle allowable in each mechanism, and a maximum value of the bending angle in the grease circulation control is greater than the maximum value of the bending angle in the work-time control and smaller than the maximum allowable bending angle.