A magnetic sensor arrangement (1), having magnetically sensitive sensor elements (7, 8) whose electrical properties are changeable as a function of a magnetic field that a moving, passive transmitter element (11) is able to influence. The magnetic sensor arrangement (1) has two sensor elements (7, 8) in a gradiometer arrangement that are each respectively associated with one of two magnetic regions (4, 5) of a permanent magnet embodied in the form of a gap magnet (2; 20; 23), which regions are spaced apart from each other by a predetermined distance (sa). The regions (4, 5) and the gap magnet (2; 20; 23)—in terms of the for example wedge-shaped embodiment, the dimensions (h, b, t), the gap width (sa), the gap depth (st), and their positions in relation to the sensor elements (7, 8)—are situated so as to minimize the offset of the output signal of the sensor elements (7, 8) in the gradiometer arrangement.