A method of controlling the operation of an actuator in a link actuation device in which: a distal end side link hub is connected with a proximal end side link hub through three or more sets of link mechanisms for alteration in orientation; each of the link mechanisms includes proximal side and distal side end link members (5, 6) which are rotatably connected at one end with the proximal end side link hub and the distal end side link hub, respectively, and an intermediate link member having its opposite ends rotatably connected with the other ends of the proximal side and distal side end link members (5, 6); each of the link mechanisms is such that a geometric model of the link mechanism depicted in line represents a symmetrical shape in which a proximal end side portion and a distal end side portion are symmetrical relative to a center portion of the intermediate link member; and two or more sets of the three or more sets of link mechanisms are provided with actuators for altering an orientation of the distal end side link hub relative to the proximal end side link hub, characterized in that: an operation of each actuator is controlled by a synchronization control for controlling to start the operation of all of the actuators simultaneously and to complete such operation simultaneously, so that an orientation control is performed to change the distal end side link hub to an arbitrary orientation; and by setting a deceleration time of all of the actuators to a value in the vicinity of one cycle of a resonant frequency possessed by the link actuation device, the synchronization control and the orientation control are performed. a distal end side link hub is connected with a proximal end side link hub through three or more sets of link mechanisms for alteration in orientation; each of the link mechanisms includes proximal side and distal side end link members (5, 6) which are rotatably connected at one end with the proximal end side link hub and the distal end side link hub, respectively, and an intermediate link member having its opposite ends rotatably connected with the other ends of the proximal side and distal side end link members (5, 6); each of the link mechanisms is such that a geometric model of the link mechanism depicted in line represents a symmetrical shape in which a proximal end side portion and a distal end side portion are symmetrical relative to a center portion of the intermediate link member; and two or more sets of the three or more sets of link mechanisms are provided with actuators for altering an orientation of the distal end side link hub relative to the proximal end side link hub, characterized in that: an operation of each actuator is controlled by a synchronization control for controlling to start the operation of all of the actuators simultaneously and to complete such operation simultaneously, so that an orientation control is performed to change the distal end side link hub to an arbitrary orientation; and by setting a deceleration time of all of the actuators to a value in the vicinity of one cycle of a resonant frequency possessed by the link actuation device, the synchronization control and the orientation control are performed. an operation of each actuator is controlled by a synchronization control for controlling to start the operation of all of the actuators simultaneously and to complete such operation simultaneously, so that an orientation control is performed to change the distal end side link hub to an arbitrary orientation; and by setting a deceleration time of all of the actuators to a value in the vicinity of one cycle of a resonant frequency possessed by the link actuation device, the synchronization control and the orientation control are performed.