Abstract: A cable sleeve which is longitudinally water tight, includes a sleeve head which is composed of an outside member having an inner cavity which expands conically from one end towards the other end and an inside member which is introduced in the cavity and has an outside surface which is matched to the conical inside surface of the outside member so that when the two members are assembled, a conical annular gap is formed therebetween for holding leads of the cable in a fanned out manner. If the sleeve head is for a branch fitting, it will be constructed to receive two cables whose leads will both be fanned out in the gap between the inside and outside members, which gap also receives a small amount of sealing compound to form a water tight seal with the leads. The shape of the cavity and the outside surface of the inside member can be each conical or if the head is designed to receive more than one cable, it can have a flattened conical surface to form a flattened conical gap.