The invention relates to a contact assembly for plug connections, i.e., charging plugs, for transmitting electric power, having at least one device for producing an electrically conductive connection and at least one device for cooling purposes, i.e., for dissipating heat produced by the transmission of electric power using the conductive connection, wherein the electrically conductive device has at least one connection region for coupling to at least one cooling area border and at least one contact region, and the coupling is carried out directly in an integrative manner so that the cooling effect is supported as a result of the at least partly direct physical contact between the electrically conductive device and the coolant. The invention additionally relates to plug connections, i.e., charging plugs, comprising at least one such contact assembly.