The invention concerns a suspension for weaving looms, of the type comprising one or more elastic elements (1, 2) and one or more damping elements (3) interposed between the feet (7) of the headpieces (S) of the loom structure (T) and the floor surface (6). Said suspension comprises, for each headpiece (S), a flat bar (8) connecting a first foot (7A) of the headpiece (S) to a portion of the floor surface (6) aligned with said feet (7), the elastic and damping elements (1 or 2 and 3) being interposed, in correspondence of said first foot (7A), between said connecting bar (8) and the floor surface (6). Moreover, said flat bar (8) connects the first foot (7A) to a portion of the floor surface (6) lying under the other foot (7B) of the headpiece (S), the elastic and damping elements (1 or 2 and 3) being interposed, in correspondence of said other foot (7B), between said connecting bar (8) and the foot (7B) itself.