A female coupling clamp which is adapted to hold a coupling head of a male coupling element in an automatic or self-latching manner and to fasten itself in a component opening in an automatic latching manner. For this, the coupling clamp is equipped with at least three resiliently formed strip-type coupling arms which are connected to each other on one side. The respective provided fastening ends of the coupling arms comprise a radially outwardly open receiving groove for an edge of a component opening. A ball head is held in a receiving space with the aid of a neck portion which is similar in shape to an inverted truncated pyramid.