An electric continuously variable valve timing apparatus may include a cam sprocket, a camshaft rotatably connected with the cam sprocket, a motor portion, a lead screw portion which may be disposed within the motor portion, may be screwed-engaged with the motor portion, and moves along length direction of the camshaft according to operations of the motor portion, and a camshaft holder rotatably connecting the lead screw portion and the cam sprocket, wherein the camshaft holder moves along length direction of the camshaft according to the movement of the lead screw portion and varies relative phase angle between the cam sprocket and the camshaft for controlling valve timing.