A continuous variable valve duration apparatus includes a camshaft, a plurality of wheels mounted to the camshaft, and a wheel pin, a plurality of cam portions of which a cam and a cam pin are formed thereto respectively, of which the camshaft is inserted thereto, and of which relative phase angle with respect to the camshaft is variable a plurality of inner brackets including a first pin guide hole and a second pin guide hole and a wheel pin connected to the wheel respectively and a cam pin connected to the cam respectively are slidably inserted into the first pin guide hole and the second pin guide hole respectively, a plurality of a slider housings of which the each inner bracket is rotatably inserted thereto respectively, and rotatably configured around a hinge hole formed a side of a cam cap and a control portion selectively moving the slider housings.