A connector provides electrical and mechanical connection between the inner conductors of a pair of coaxial lines. The connector avoids the use of a slotted female conductor by either providing a slotted male conductor or by providing slotless conductors. The configuration allows a two layer construction of the connector so that the construction is simple and so that signals of higher frequency can be transmitted without severe signal degradation. In addition, the connector provides an electrical contact which is close to the interface between the two inner conductors so that the resonant frequency of the connector is sufficiently high as to avoid degradation of the electrical performance of the connector.