A continuous variable valve timing apparatus may include a camshaft, a cam device on which a cam is formed respectively and of which the camshaft is inserted thereto, wherein a relative phase angle with respect to the camshaft is variable, an inside bracket configured to transmit rotation of the camshaft to the cam device, a lifter in which the inside bracket is rotatably inserted therein and on which a cylinder opening and a shaft opening are formed thereon, a control shaft parallel to the camshaft and to which a control rod, inserted into the shaft opening, is eccentrically formed, a control cylinder on which a control rod opening where the control rod is inserted therein is formed and inserted into the cylinder opening, a guide portion guiding movement of the lifter and a controller selectively rotating the control shaft, wherein the lifter may move.