The present invention provides a variable valve lift apparatus for vehicle engines. A low-speed arm is installed in a high-speed arm to overlap the high-speed arm. A compression pin, a center pin, and a return spring are installed in a roller shaft of the low-speed arm and both cylinders of the high-speed arm. Further, an oil passage extends through a rocker arm shaft boss and a side body of the high-speed arm to the cylinder having the compression pin. Such a construction reduces the overall width of the apparatus, allows respective valves to be independently controlled, reduces design limitations due to the interference with a cam journal, and easily ensures an oil path. Further, a latching pin (the compression pin and the center pin) is supported at two places, thus enhancing the reliability and stability of a latching operation.