Abstract: A female electrical contact member comprises a body with connecting members at one end for connecting it to an electrical conductor, such as crimping lugs, and at the other end a series of elastic lugs for gripping a cylindrical male member and extending from a cylindrical ring connected to the connecting members by a profiled part. It is completed by an outer sleeve having a bush inserted in and fixed to the cylindrical ring and a sleeve with cut-out elastic tongues which cooperate with the elastic lugs to strengthen their action. The outer sleeve has retaining members which cooperate with a shoulder in a passage of a connector housing member and receive the female member. The part of the body including the elastic lugs has a diameter less than that of the ring, the two parts being joined by a shoulder. The diameter of the sleeve of the outer sleeve is smaller than that of the bush, the two parts being joined by a shoulder.