A sensor unit is described for measuring parameters of a fluid, in particular a hydraulic fluid, in a fluid power unit, in particular a hydraulic power unit, as well as a fluid power unit with a sensor unit and a method for measuring parameters of a fluid in a fluid power unit. The sensor unit has a contact module and two electrode pairs with two electrodes each. The electrode pairs are connected to the contact module and the longitudinal axes of the electrode pairs are arranged essentially perpendicular to each other. This enables capacitive fluid level measurements with different orientations of the sensor unit without the need to adjust the sensor system. The additional measurement of other parameters of the fluid by means of the method efficiently allows for statements about the quality of the fluid to be made.