A continuous variable valve duration apparatus includes: a camshaft, a front cam unit and a rear cam unit of which the phase relative to the camshaft can be varied, a front inner wheel and a rear inner wheel, a front guide bracket and a rear guide bracket, a front wheel housing and a rear wheel housing, a front control shaft, a rear control shaft, a phase controller selectively changing the relative phase of the front control shaft and the rear control shaft, a main driving unit for driving the rear control shaft, vibration sensors that measure the vibration of each cylinder corresponding to the front cam unit and the rear cam unit and output a corresponding signal, and a controller for controlling the operation of the main driving unit and the phase controller according to the output signals of the respective vibration sensors.