In a tappet (1) of a valve train of an internal combustion engine, the leakage of hydraulic medium occurring between its reception bore (6) and skirt (2) is to be reduced. To achieve this, the tappet (1) of the invention comprises an anti-rotation device (22) and, at the same time, a supply of hydraulic medium from a supply gallery (21) to an annular oil reservoir (17) is effected directly, i.e. annular grooves and other oil deflecting measures are dispensed with. An aperture (19) in the skirt (2) for the supply of hydraulic medium can, at the same time, be advantageously arranged in a bottom-proximate region thereof.