The invention discloses a fabricated concrete shear wall with an H-shaped steel inclined strut and a construction method thereof. The concrete shear wall comprises a first shear wall unit and a secondshear wall unit, the first shear wall unit and the second shear wall unit are stacked up and down, and the first shear wall unit and the second shear wall unit are connected and fixed by a connectingmechanism; the first shear wall unit and the second shear wall unit are both provided with shear wall structures; a shear wall frame is formed through a left embedded column, an upper embedded beam,a right embedded column and a lower embedded beam enclosed by, a first facade steel plate and a second facade steel plate are fixed to the front side and the rear side of the shear wall frame; an inclined supporting part is fixed in the shear wall frame; the inclined supporting part comprises two H-beams, and the two H-beams are mutually crossed to be in an X-shaped structure; and concrete is poured into the shear wall frame and edge columns. The in-plane inclined-resistant stiffness, shear capacity, bending bearing capacity, ductility and energy consumption capacity of the shear wall are improved through the design of the inclined supporting part, and the shear wall unit can be pre-installed in advance to facilitate the on-site construction.