A cylindrical magnetic resonance antenna suitable for use as a local antenna for the reception or transmission of magnetic resonance signals, has an antenna arrangement, such as a birdcage antenna arrangement with longitudinal conductors connected at their opposite ends by end rings. In each case, two adjacent longitudinal conductors and the end ring segments therebetween form a network. In each case, the end ring segments connecting two of the adjacent longitudinal conductors are formed as end ring sections, with an end ring capacitance connected therebetween, which is the same for all of the end ring segments. A grounded screen externally encompasses the antenna arrangement. The grounded screen is composed of electrically conductive material and is coupled through a screen capacitance to the longitudinal conductors and the end rings. The longitudinal conductors are each formed by conductor sections connected with a longitudinal capacitance therebetween, which is the same for all of the longitudinal conductors. The longitudinal capacitance, the end ring capacitance, and the screen capacitance are dimensioned so that the magnetic resonance antenna always has the same resonance frequency regardless of the type of activation thereof.