A battery current sensing device for the battery of a vehicle includes a current sensor, a substrate having a measuring circuit, and a connecting element having first and second ends. The current sensor is connected to the battery to receive current flow of the battery. One end of the connecting element is electrically and mechanically connected to the substrate and the other end of the connecting element is electrically and mechanically connected to the current sensor such that the connecting element electrically and mechanically connects the substrate in a fixed position to the current sensor with the measuring circuit being electrically connected to the current sensor. The first end of the connecting element includes a press-fit contact for establishing the connection to one of the current sensor and the substrate.