Externally insulated coaxial connector (2) for connecting two electrical coaxial components, the connector comprising an insulative housing 6 defining first and second intersecting passageways (18, 20) for respectively receiving at least portions of the coaxial components and having central longitudinal axes (16, 22) which are not aligned with each other and may be mutually perpendicular. The connector further comprising a first shield member (54) which is at least partly accommodated by the first passageway (18) and a second shield member (120) which is at least partly accommodated by the second passageway (20) and is engageable with the first shield member (54) by movement of the second shield member (120) with respect to the second passageway (20). Engagement of the first and second shield members (54, 120) with each other and engagement of first and second core connection members (44, 110) with each other may be by means of push-fit inter-engagement.