An electrical connector is provided having a housing. Contact modules are positioned within the housing. The contact modules each have a dielectric body holding at least one conductive lead. The at least one conductive lead extends between a mating end and a mounting end. The mating end is configured to be electrically connected to an electrical component. The mounting end is configured to be electrically connected to a circuit board. Ground plates are positioned within the housing between corresponding contact modules. The contact modules and the ground plates form a contact assembly held by the housing. A conductive elastomeric material extends through the contact modules and engages the ground plates to electrically interconnect the ground plates.