A continuously variable valve duration apparatus may include a camshaft, a plurality of first cams and second cams of which a cam key is formed respectively thereto, and of which relative phase angles with respect to the camshaft are variable, a plurality of rotation rings mounted to the camshaft and of which a ring key is formed thereto respectively, a plurality of inner brackets transmitting rotation of the camshaft to the cam keys of the first cams and the seconds respectively, a plurality of slider housings of which each inner bracket is rotatable inserted therein and of which a control slot is formed thereto respectively, an eccentric control shaft inserted into the control slots and a control portion selectively rotating the eccentric control shaft to move positions of the slider housing and change positions of the inner brackets.