The present invention relates to an elastic joint apparatus (a flexure mechanism) that can be used for various purposes, such as an industrial purpose, a medical purpose, a training purpose, etc regarding human bodies, animals, mechanical devices, and products. More particularly, the present invention relates to an elastic joint apparatus (a flexure mechanism) in which a joint connection means inserted and mounted into a joint means enables linear movements in X-axis, Y-axis and Z-axis directions and rotational movements in altitude, azimuth and axial rotation directions by means of the bending and elastic force of an elastic means, and in which the joint connection means is configured to be separated from and coupled to the joint means by the elastic force of the elastic means in proportion to applied force.