A variable valve actuation apparatus of an internal combustion engine has a multinodular-link motion converter, to vary at least a working angle. A position of rotation of a control shaft, variably adjusting the attitude of the motion converter, is set, so that, at a peak lift during a valve opening period, an angle γ2 between an extension line of a line segment connecting a first fulcrum corresponding to a drive-eccentric-cam center and a second fulcrum provided on a rocker arm and a line segment connecting the second fulcrum and a third fulcrum provided on the rocker arm at a position different from the second fulcrum at a middle working-angle control mode is less than both an angle γ1 between the two line segments at a minimum working-angle control mode and an angle γ3 between the two line segments at a maximum working-angle control mode.