A link actuating device comprising: input side and output side link hubs (2, 3); input side and output side end links (5, 6) to be rotatably connected to the input side and output side link hubs (2, 3), respectively; an intermediate link to be rotatably connected to the input side and output side end links (5, 6); and two sets of a three-link-chain link mechanism (4A, 4B), each three-link-chain link mechanism (4A, 4B) including four revolute pairs composed of the input side end link, the intermediate link and the output side end link, wherein the four revolute pairs having a first revolute pair axis (O1A, O1B) between the input side link hub and the input side end link, a second revolute pair axis (O2A, O2B) between the output side link hub and the output side end link, a third revolute pair axis between the input side end link and the intermediate link, a fourth revolute pair axis between the output side end link and the intermediate link; the two sets of link mechanisms (4A, 4B) have a positional relationship in which, on both the input side and the output side, the respective first revolute pair axes (O1A, 01B) of the two sets of link mechanisms (4A, 4B) are located on the same plane and cross each other; and characterized in that at least one of the two sets of link mechanisms (4A, 4B) is provided with an interlocking unit that interlocks the input side end link and the output side end link to each other so as to be rotationally displaced, wherein the interlocking unit interlocks the input side end link and the output side end link such that rotational directions thereof relative to the intermediate link are opposite to each other and rotational displacement angles thereof are the same and the link actuating device has a total of two degrees of freedom. input side and output side link hubs (2, 3); input side and output side end links (5, 6) to be rotatably connected to the input side and output side link hubs (2, 3), respectively; an intermediate link to be rotatably connected to the input side and output side end links (5, 6); and two sets of a three-link-chain link mechanism (4A, 4B), each three-link-chain link mechanism (4A, 4B) including four revolute pairs composed of the input side end link, the intermediate link and the output side end link, wherein the four revolute pairs having a first revolute pair axis (O1A, O1B) between the input side link hub and the input side end link, a second revolute pair axis (O2A, O2B) between the output side link hub and the output side end link, a third revolute pair axis between the input side end link and the intermediate link, a fourth revolute pair axis between the output side end link and the intermediate link; the two sets of link mechanisms (4A, 4B) have a positional relationship in which, on both the input side and the output side, the respective first revolute pair axes (O1A, 01B) of the two sets of link mechanisms (4A, 4B) are located on the same plane and cross each other; and characterized in that at least one of the two sets of link mechanisms (4A, 4B) is provided with an interlocking unit that interlocks the input side end link and the output side end link to each other so as to be rotationally displaced, wherein the interlocking unit interlocks the input side end link and the output side end link such that rotational directions thereof relative to the intermediate link are opposite to each other and rotational displacement angles thereof are the same and the link actuating device has a total of two degrees of freedom. the four revolute pairs having a first revolute pair axis (O1A, O1B) between the input side link hub and the input side end link, a second revolute pair axis (O2A, O2B) between the output side link hub and the output side end link, a third revolute pair axis between the input side end link and the intermediate link, a fourth revolute pair axis between the output side end link and the intermediate link; the two sets of link mechanisms (4A, 4B) have a positional relationship in which, on both the input side and the output side, the respective first revolute pair axes (O1A, 01B) of the two sets of link mechanisms (4A, 4B) are located on the same plane and cross each other; and characterized in that at least one of the two sets of link mechanisms (4A, 4B) is provided with an interlocking unit that interlocks the input side end link and the output side end link to each other so as to be rotationally displaced, wherein the interlocking unit interlocks the input side end link and the output side end link such that rotational directions thereof relative to the intermediate link are opposite to each other and rotational displacement angles thereof are the same and the link actuating device has a total of two degrees of freedom.