A connector assembly having a floating structure includes a connector moveably mounted in a cradle housing. A part of this connector connects to and detaches from another connector facing, through a spacing, a connector-mounting window of the cradle housing. The connector on the moveable side is moveable freely within the range of the spacing. An elastic member of flexible material is provided on the exterior of the moveable-side connector and closely contacts and is housed in a housing part formed in the cradle housing. An elastic member restoring force, acting when coupling between the moveable-side connector and the other connector is released, causes the moveable-side connector to return its original position in the cradle housing.