A link actuating device includes input side and output side link hubs, and two sets of link mechanisms. Each of the link mechanisms is a three-link-chain link mechanism including four revolute pairs, and includes input side and output side end links rotatably connected to the input side and output side link hubs and an intermediate links rotatably connected to input side and output side end links. The link mechanism have a positional relationship in which the revolute pair axes between the link hubs and the end links are located on the same plane and cross each other. At least one of the two sets of link mechanisms is provided with interlocking unit that interlocks the input side end link and the output side end link to each other so as to be rotationally displaced.