A current bar adapter for electrically connecting at least one plug-in module to at least one current bar and/or contact bar of an insert part which is inserted into a mounting rail, a number of current bars and/or contact bars that extend in a longitudinal direction of the mounting rail being arranged in the insert part, the current bar adapter including: a clamping device for snapping the current bar adapter onto the mounting rail; at least one interface for contacting the at least one plug-in module; and at least one contact element for contacting the at least one current bar and/or contact bar and establishing an electrical connection between the current bar and/or contact bar and the at least one plug-in module.