A variable valve actuation device includes a plurality of valve lifter. Each valve lifter slidable in a lifter support hole between an upper position and a lower position. A valve rest recess communicating with a valve rest chamber opens out at an outer circumferential surface of the valve lifter, and a valve rest supply port of a valve rest passage opens out at an inner circumferential surface of the lifter support hole in such a positional relationship that the valve rest passage and the valve rest chamber communicate with each other when the valve lifter is at the upper position, and continue to communicate with each other until the valve lifter has moved downward to a shut-off position located at a prescribed part of a down stroke from the upper position. The communication between the valve rest passage and the valve rest chamber shut off at the shut-off position.