The CVVL device includes a rocking cam having a rolling face contacting a rocker arm is formed to press the rocker arm when pivoted, a rocking roller, which is disposed above the drive cam and rolls on an outer circumference of the drive cam, a control apparatus, which changes a position of the rocking roller rolling on the outer circumference of the drive cam; and a rocking apparatus, which pivots the rocking cam according to a position of the rocking roller such that a position where the rocker arm is contacted with the rolling face is changed depending on the position of the rocking roller.