A device (11) for variably adjusting the control times of gas exchange vales (9, 10) of an internal combustion engine (1) having a hydraulic phase adjustment device (12) and at least one volume accumulator (31), wherein the phase adjustment device (12) can be brought into driving connection with a crankshaft (2) and a camshaft (6, 7) and at least one early adjustment chamber (24) and at least one late adjustment chamber (25) which can be supplied with pressure medium via pressure medium lines (26a, b, p. v), or from which pressure medium can be drained. A phase position of the camshaft (6, 7) can be adjusted relative to the crankshaft (2) in the direction of early control times by supplying pressure medium to the early adjustment chamber (24) while simultaneously draining pressure medium from the late adjustment chamber (25), wherein a phase position of the camshaft (6, 7) can be adjusted relative to the crankshaft (2) in the direction of late control times by supplying pressure medium to the late adjustment chamber (25) while simultaneously draining pressure medium from the early adjustment chamber (24), wherein pressure medium can be supplied to the volume accumulator(s) (31) during operation of the internal combustion engine (1).