A device for adjusting the rotational angular position of a cam shaft relative to a crankshaft of a combustion engine, said device comprising: (a) a stator which can be rotary-driven by the crankshaft in a fixed rotational speed relationship; (b) a rotor which can be rotary-driven by the stator and can be coupled to the cam shaft in order to rotary-drive the cam shaft; (c) an early setting chamber for generating a torque which acts on the rotor relative to the stator in a leading direction, and a late setting chamber for generating a torque which acts on the rotor relative to the stator in a trailing direction, wherein in order to generate the respective torque, the early setting chamber and the late setting chamber can be charged with a pressure fluid, wherein when the rotational speed of the crankshaft rises, the pressure of the pressure fluid likewise rises, in order to be able to adjust the rotational angular position of the rotor relative to the stator; (d) a supply branch for supplying the pressure fluid to the setting chambers (8, 9) and a drainage branch for draining the pressure fluid from the setting chambers (8, 9); (e) and a pressure storage means which is arranged in the supply branch and comprises a spring means and a storage chamber which can be filled with the pressure fluid against a restoring spring force of the spring means, (f) wherein the storage chamber begins to fill, against the spring force, at a start-of-filling pressure (P FB) which is at most as large as a hot idling pressure (P HL) which the pressure fluid exhibits when the combustion engine is idling in its hot operational state, characterised in that (g) the storage chamber continues to be filled against the spring force if the hot idling pressure (P HL) is exceeded. (a) a stator which can be rotary-driven by the crankshaft in a fixed rotational speed relationship; (b) a rotor which can be rotary-driven by the stator and can be coupled to the cam shaft in order to rotary-drive the cam shaft; (c) an early setting chamber for generating a torque which acts on the rotor relative to the stator in a leading direction, and a late setting chamber for generating a torque which acts on the rotor relative to the stator in a trailing direction, wherein in order to generate the respective torque, the early setting chamber and the late setting chamber can be charged with a pressure fluid, wherein when the rotational speed of the crankshaft rises, the pressure of the pressure fluid likewise rises, in order to be able to adjust the rotational angular position of the rotor relative to the stator; (d) a supply branch for supplying the pressure fluid to the setting chambers (8, 9) and a drainage branch for draining the pressure fluid from the setting chambers (8, 9); (e) and a pressure storage means which is arranged in the supply branch and comprises a spring means and a storage chamber which can be filled with the pressure fluid against a restoring spring force of the spring means, (f) wherein the storage chamber begins to fill, against the spring force, at a start-of-filling pressure (P FB) which is at most as large as a hot idling pressure (P HL) which the pressure fluid exhibits when the combustion engine is idling in its hot operational state, characterised in that (g) the storage chamber continues to be filled against the spring force if the hot idling pressure (P HL) is exceeded.