A cable-stay cradle system ("cradle system") for cable stayed bridges is mounted onto a cable stay, the opposite ends of which are attached to anchors on a bridge deck. The cradle system is disposed along the length of the cable stay and located in a pre-formed opening in a pylon. The cradle system includes axially spaced sleeve centering plates that have radially spaced holes through which the cable strands of the cable stay are threaded. The cradle system ensures that a distance from center-points of adjacent cable strands remains essentially constant along the entire length of the cradle system. The invention also provides a method of installing a cable stay including a cradle system, which includes the steps of threading the cable stay through the opening in the pylon so as to locate the cradle system in the opening, and attaching the cable stay to anchors on the bridge deck.