A device is indicated for controlling at least one gas exchange valve for an
combustion
cylinder of an internal combustion engine, having an hydraulic actuator for valve
actuation and having a high-pressure pump that supplies the actuator with a pressure
medium. In order to reduce the production costs, the high-pressure pump is formed
as a control-sleeve pump having a stroke-driven pump plunger that limits a pump
chamber, and having a spool valve surrounding this plunger. In the pump plunger
and spool valve, on the one hand a control groove that runs obliquely to the stroke
direction is provided, and on the other hand a spill opening that cooperates therewith
is provided, which together bring about a relief of pressure of the pump chamber
when they overlap. For the controlling of the phase position and duration of the
valve actuation, the pump plunger and the spool valve are able to be rotated relative
to one another, and the spool valve is able to be displaced relative to the pump plunger.