A continuously variable valve lift apparatus may include a control shaft, a camshaft in which a cam is formed thereto, an eccentric member connected to the control shaft, a follower slidably contacting the cam, a follower arm that is extended from a follower ring mounted around the eccentric member, a variable ring slidably mounted on the eccentric member and a variable arm extended from the variable ring, an output ring slidably mounted on the control shaft and an output arm extended from the output ring, wherein an output cam is integrally formed to the output arm and an end portion of the output cam is pivotally coupled to one end portion of the output arm, a first link pivotally connecting the follower arm and the variable arm, and a second link pivotally connecting the variable arm and the output arm.