An anchoring device comprising an expansion anchor and a screw insertable by screwing into an inner longitudinal seat of a deformable body of the anchor provided partially pre-screwed into the body, characterized in that, in combination: a) the expansion anchor comprises a head and the deformable tubular body, which is insertable in use into a hole of at least one supporting element and which extends along a longitudinal symmetry axis of the anchor, within such a body being delimited said longitudinal seat, which is open at least towards the head and adapted to accommodate in use a tightening screw therein, for locking the body into the hole, wherein at least one longitudinal portion of the body, distal from the head, consists of a plurality of modules (M; M') longitudinally crossed by the screw seat and adapted to be deformed in use, upon the progressive introduction of the screw into the seat, in a sequential and substantially even manner with respect to each other, the modules (M; M') being sequentially arranged along the symmetry axis and being obtained integrally with each other and with the head, in a number proportional to a desired anchor sinking length; and b) the screw is adapted to be introduced, from the side of the head of the anchor, into the longitudinal seat open at least towards the head and obtained within said deformable tubular body of the anchor, which body extends so as to protrude from the head; the screw comprising a head adapted in use to abut against an element to be anchored to the supporting element where the anchor is introduced and/or against said head of the anchor, and a shank adapted to be screwed in use within the seat of the anchor body for radially expanding the latter; wherein, from a free end opposite to the screw head, the shank comprises threaded stretches (38, 39, 40) axially arranged in sequence having core diameters increasing towards the head, different threading profile having, preferably, equal pitch, and crest diameters equal or increasing towards the head; a first stretch of the screw shank, close to the free end in the longitudinal direction, having a substantially triangular and relatively sharp profile of the crests of thread; a second stretch of the screw shank, immediately next to the first one in the longitudinal direction, having a substantially rounded, triangular profile of the crests of threads; and a third stretch of the screw shank, immediately next to the second one in the longitudinal direction, having a profile of the crests of thread with two different inclinations. a) the expansion anchor comprises a head and the deformable tubular body, which is insertable in use into a hole of at least one supporting element and which extends along a longitudinal symmetry axis of the anchor, within such a body being delimited said longitudinal seat, which is open at least towards the head and adapted to accommodate in use a tightening screw therein, for locking the body into the hole, wherein at least one longitudinal portion of the body, distal from the head, consists of a plurality of modules (M; M') longitudinally crossed by the screw seat and adapted to be deformed in use, upon the progressive introduction of the screw into the seat, in a sequential and substantially even manner with respect to each other, the modules (M; M') being sequentially arranged along the symmetry axis and being obtained integrally with each other and with the head, in a number proportional to a desired anchor sinking length; and b) the screw is adapted to be introduced, from the side of the head of the anchor, into the longitudinal seat open at least towards the head and obtained within said deformable tubular body of the anchor, which body extends so as to protrude from the head; the screw comprising a head adapted in use to abut against an element to be anchored to the supporting element where the anchor is introduced and/or against said head of the anchor, and a shank adapted to be screwed in use within the seat of the anchor body for radially expanding the latter; wherein, from a free end opposite to the screw head, the shank comprises threaded stretches (38, 39, 40) axially arranged in sequence having core diameters increasing towards the head, different threading profile having, preferably, equal pitch, and crest diameters equal or increasing towards the head; a first stretch of the screw shank, close to the free end in the longitudinal direction, having a substantially triangular and relatively sharp profile of the crests of thread; a second stretch of the screw shank, immediately next to the first one in the longitudinal direction, having a substantially rounded, triangular profile of the crests of threads; and a third stretch of the screw shank, immediately next to the second one in the longitudinal direction, having a profile of the crests of thread with two different inclinations.