A device and method for the relative adjustment of the angle of rotation of a camshaft with respect to the crankshaft of an internal combustion engine that utilizes a hydraulically activated actuating element, through the adjustment of which the phase position of the camshaft can be directly or indirectly changed. The actuating element is bordered by two pressure chambers, which can be loaded with or relieved of hydraulic fluid via control lines. A control valve is provided, which, depending upon an operating state of the internal combustion engine, forces a flow of oil that is forced from an oil reservoir by an oil pump via a first control line to a first pressure chamber, while oil from a second pressure chamber is returned to the oil reservoir via a second control line, and vice versa. At least one controlled bypass is arranged between the two pressure chambers. In this manner, the speed of adjustment of the camshaft adjuster can be advantageously increased.