A link actuation apparatus comprising: a parallel link mechanism including a proximal-side link hub, a distal-side link hub, link mechanisms each coupling the distal-side link hub to the proximal-side link hub such that a posture of the distal-side link hub can be changed relative to the proximal-side link hub, and revolute pair parts which serve as connections in the link mechanisms; posture control drive sources (11, 11-1, 11-2, 11-3,...) configured to arbitrarily change the posture of the distal-side link hub relative to the link mechanisms; and a control device configured to control the posture control drive sources, wherein the control device includes an abnormality detector including: a measurement section configured to measure a predetermined state value which is affected by abnormality in the revolute pair parts of a link actuation apparatus body constituted by the parallel link mechanism and the posture control drive sources; and a determination section configured to determine if the link actuation apparatus body has abnormality in any of the revolute pair parts on the basis of a measurement result obtained by the measurement section, wherein the measurement section is configured to measure rigidity of the link actuation apparatus body, and the determination section is configured to determine the abnormality according to a predetermined rule on the basis of a measurement value obtained by the measurement section. a parallel link mechanism including a proximal-side link hub, a distal-side link hub, link mechanisms each coupling the distal-side link hub to the proximal-side link hub such that a posture of the distal-side link hub can be changed relative to the proximal-side link hub, and revolute pair parts which serve as connections in the link mechanisms; posture control drive sources (11, 11-1, 11-2, 11-3,...) configured to arbitrarily change the posture of the distal-side link hub relative to the link mechanisms; and a control device configured to control the posture control drive sources, wherein the control device includes an abnormality detector including: a measurement section configured to measure a predetermined state value which is affected by abnormality in the revolute pair parts of a link actuation apparatus body constituted by the parallel link mechanism and the posture control drive sources; and a determination section configured to determine if the link actuation apparatus body has abnormality in any of the revolute pair parts on the basis of a measurement result obtained by the measurement section, wherein the measurement section is configured to measure rigidity of the link actuation apparatus body, and the determination section is configured to determine the abnormality according to a predetermined rule on the basis of a measurement value obtained by the measurement section. a measurement section configured to measure a predetermined state value which is affected by abnormality in the revolute pair parts of a link actuation apparatus body constituted by the parallel link mechanism and the posture control drive sources; and a determination section configured to determine if the link actuation apparatus body has abnormality in any of the revolute pair parts on the basis of a measurement result obtained by the measurement section, wherein the measurement section is configured to measure rigidity of the link actuation apparatus body, and the determination section is configured to determine the abnormality according to a predetermined rule on the basis of a measurement value obtained by the measurement section.