Abstract: In an anchorage for tendons, such as strands, an anchorage body for anchoring tendons with wedges, having a central passage or bore for the tendon, at least one part or section of which passage widening conically from the inlet end to the outlet end in order to form a seat for wedges, said anchorage body presenting at the inlet end of said passage a projection integral with the remaining part of the body and having also a passage or bore for the tendon to form a holding means for a sealing element surrounding the portion of a tendon near the anchoring body.