A continuous variable valve duration apparatus may include a camshaft, a first cam portion and a second cam portion of which a cam is formed thereto respectively, of which the camshaft is inserted thereto, of which relative phase angles with respect to the camshaft are variable, and the first and second cam portions disposed on one cylinder and the next cylinder respectively, a first inner bracket and a second inner bracket transmitting rotation of the camshaft to the first and second cam portions respectively, a slider housing of which the first and second inner brackets are rotatably inserted thereto and of which relative position with respect to the camshaft is variable and a control portion selectively changing the relative position of the slider housing.