A constructive assembly for building walls covering a surface extending between a lower bearing member and an upper bearing member located above it, according to the direction of gravity, where said assembly comprises: - a plurality of sections of cable with fixing means (1.1) at the ends thereof adapted to be fixed tautly between the lower bearing member and the upper bearing member, distributed according to a directrix path (Γ) in the lower bearing member and the upper bearing member, - a plurality of building blocks having an essentially prismatic body where each building block comprises at least: ∘ a first support base (2.1) configured for resting on the lower bearing member or on at least another building block, ∘ a second base (2.2) arranged on the face opposite the first base (2.1) configured for supporting at least another building block, ∘ an exposed surface (2.3) extending between the first base (2.1) and second base (2.2), ∘ an anchoring surface (2.4) extending between the first base (2.1) and second base (2.2) arranged on the face opposite the exposed surface (2.3), wherein the anchoring surface (2.4) of the building blocks comprises anchoring means (2.5) for the anchoring thereof to the sections of cables for stabilizing the wall characterized in that the following are established on the building block: - the horizontal direction X is established as the direction tangent to the directrix path (Γ), - the transverse direction Y is established as the horizontal direction which is perpendicular to both the direction of gravity and the horizontal direction X; and, wherein the anchoring means (2.5) of the anchoring surface (2.4) are configured by means of a recess (2.4.1) penetrating the anchoring surface (2.4), such that in the plan projection on a plane parallel to the plane formed by the horizontal direction X and the transverse direction Y, this recess (2.4.1) additionally shows a protuberance (2.4.1.1) projecting in the horizontal direction X, this protuberance (2.4.1.1) being configured for retaining at least one section of cable according to the direction Y. - a plurality of sections of cable with fixing means (1.1) at the ends thereof adapted to be fixed tautly between the lower bearing member and the upper bearing member, distributed according to a directrix path (Γ) in the lower bearing member and the upper bearing member, - a plurality of building blocks having an essentially prismatic body where each building block comprises at least: ∘ a first support base (2.1) configured for resting on the lower bearing member or on at least another building block, ∘ a second base (2.2) arranged on the face opposite the first base (2.1) configured for supporting at least another building block, ∘ an exposed surface (2.3) extending between the first base (2.1) and second base (2.2), ∘ an anchoring surface (2.4) extending between the first base (2.1) and second base (2.2) arranged on the face opposite the exposed surface (2.3), wherein the anchoring surface (2.4) of the building blocks comprises anchoring means (2.5) for the anchoring thereof to the sections of cables for stabilizing the wall characterized in that the following are established on the building block: ∘ a first support base (2.1) configured for resting on the lower bearing member or on at least another building block, ∘ a second base (2.2) arranged on the face opposite the first base (2.1) configured for supporting at least another building block, ∘ an exposed surface (2.3) extending between the first base (2.1) and second base (2.2), ∘ an anchoring surface (2.4) extending between the first base (2.1) and second base (2.2) arranged on the face opposite the exposed surface (2.3), - the horizontal direction X is established as the direction tangent to the directrix path (Γ), - the transverse direction Y is established as the horizontal direction which is perpendicular to both the direction of gravity and the horizontal direction X; and,