A shock-absorbing system for protecting against impacts of obstacles such as ships and the like, structures such as platforms of the off-shore type wherein a deck is mounted at a predetermined height above the level of the sea on a support structure constituted by piles or the like, said system comprising deformable shock-absorbing elements suspended from the deck between the deck and a level at least substantially equal to a predetermined level of the sea, on the outside of the support piles and at a suitable distance therefrom, said shock-absorbing elements being arranged to form a row with each element being spaced apart from the others, said row of elements extending along the periphery of said platform, and barrier means, comprising a substantially vertically extending barrier surface, provided between adjacent ones of said elements taken two at a time and comprising a sheet-like element of substantial vertical extent, for preventing an obstacle, such as a ship arriving in a head-on path between said elements, from passing through said row of shock-absorbing elements and coming into contact with said support piles.