A continuous variable valve duration apparatus is provided. The apparatus includes a camshaft and a cam unit on which a cam is formed. The camshaft is inserted into the cam unit. An inner wheel transmits rotation of the camshaft to the cam unit. The inner wheel is rotatably inserted in a wheel housing a housing hinge aperture parallel to the camshaft is formed on the wheel housing. A slider hinge aperture and a slider control aperture parallel to the camshaft are formed through a slider. A hinge shaft is inserted into the housing hinge aperture and the slider hinge aperture. An eccentric cam is formed on a control shaft and is inserted into the slider control aperture. A controller selectively rotates the control shaft to move the wheel housing perpendicular to the camshaft via the slider.