Valve train of an internal combustion engine comprising a tappet and a tappet pushrod

The invention proposes a valve train of an internal combustion engine comprising a tappet and a tappet pushrod that is actuated by said tappet, said tappet pushrod being at least partly hollow and comprising on one end, a first support for a pressure piston of a hydraulic lash adjuster of said tappet that follows a periodic driving element such as a cam. A second support for a follower member such as a rocker arm is arranged on a further end of the tappet pushrod. The first support comprises a passage for hydraulic medium that can be routed out of the pressure piston during operation of the internal combustion engine into an interior of the tappet pushrod, a one-way valve means being installed in the tappet pushrod for retaining a hydraulic medium column during a standstill of the internal combustion engine. In this way, an additional reservoir for hydraulic medium is created that serves for the rapid filling of the pressure piston immediately after a re-starting of the internal combustion engine.