Abstract: In a contact apparatus (4) for providing an electrical contact (1) between two flatly overlapping, current carrying conductor elements, particularly in the form of conducting bars and flat plates, the contact apparatus (4) being positioned and compressed between the conductive elements, and at least one resiliently compressible contact element along with at least one support element located adjacent the contact element for the purpose of limiting the compression of the at least one contact element, the at least one contact element and the at least one support element, in order to attain a flexible match to variable connector geometries, are shaped as separate contact modules (5a-d) and support modules (6a-d) which may be combined together.