A module is provided for measuring current flowing in a conductor of a low-voltage distribution board. The module includes a current sensor for detecting the current, a microprocessor circuit for processing an output signal from the current sensor, and a module housing which accommodates the current sensor and the microprocessor circuit. The module housing has an opening for passing the current conductor, an interface with two current connections, and a connection element for releasably fastening the module in the low-voltage distribution board. To enable the module to be simply installed in the low-voltage distribution board and ensure operational reliability of the module, the passage opening extends from a side of the module housing bearing the interface, through the current measuring module, to an opposite side of the module housing, and the module is DC-isolated from the current conductor after it has been installed in the low-voltage distribution board.