The work presented a facile, one-step procedure as a green assembly process for preparing silver tungstate nanorod by hydrothermal technique via a chemical reaction between silver nitrate and sodium tungstate. The synthesized precipitate was characterized using X-ray diffraction (XRD) transmission electronic microscope (TEM) and scanning electron microscopy (SEM) to ensure the formation of crystallization and single-phase material. The prepared nanorods undergo a catalytic evaluation to synthesize tetrahydrobenzo[a] xanthene-11-one derivatives by a one-pot reaction of β-naphthol, dimedone, and aromatic aldehyde with a catalytic amount of silver tungstate under the solvent-free condition at 60–70 °C. ArgC is one of the L-arginine biosynthetic pathways of mycobacterium tuberculosis. The molecular docking explains that all the synthesized compounds presented high ligand ability for the targeted enzyme compared with xanthene-9-carboxylic acid as a reference.