A textile or filamentary structure for a reinforced composite material comprising a first filament (1) which is disposed in multiple turns or convolutions in a first plane (X-Y) without forming a cut, free or exposed end at each turn and then disposed as a subsequent lamination in another parallel filament-disposition plane in which it extends in a path different from the path of filament disposition in said first plane, whereafter it repeats the lamination in successive planes, a second filament (2) sinuously extending in planes (Y-Z) which intersect the planes of disposition of the first filament, without forming a cut, free or exposed end at each turn, and a third filament (3) sinuously extending in successive parallel planes (X-Y) adjacent the laminations of said first filament (1), passing through loops (5) formed by said second filament (2), thereby retaining the same in the body of the structure.