Abstract: An anchorage for a support cable of a bridge construction includes an anchorage block for anchoring one end of the cable relative to a structural bridge component, the block including anchor heads and hollow tubes extending in registry with anchor head passages at one end of wall of the block and terminating at an opposite end wall of the anchorage block. The cable includes a tubular sheath seated against the anchorage block and extending through its bearing plate as well as through a bearing plate on the bride component. Cable strands are threaded through the sheath and through the hollow tubes as well as through the anchor head passages, and the cable strands are simultaneously stressed by means of hydraulic stressing jacks operating between the bearing plates.