Abstract: The invention relates to a system for the suspension of the conductors of a bundle in very high voltage electric lines, for instance 1000 KV lines, wherein each suspension support consists of a steel tube, or of a pair of steel tubes, parallel to the longitudinal axis of the bundle of conductors, onto which there is fixed at least one set of radially disposed brackets, each for the support of one of the sub-conductors of the bundle, the insulating catenaries of suspension to the poles of the line being also directly anchored to said tube and passing through the bundle.