A variable valve apparatus comprises a rocker shaft having an eccentric shaft rendered eccentric, a cam provided below the rocker shaft and rotationally driven, a support shaft disposed at a height equal to the rocker shaft, a first arm rockingly supported by the rocker shaft and capable of driving a valve, a second arm rockingly supported by the eccentric shaft and driven by the cam, and a third arm rockingly supported by the support shaft and displaced by rocking of the second arm for driving the first arm, and turns the rocker shaft in the direction of R2 to continuously change the valve opening timing and lift amount of the valve.