The invention refers to the way of obtaining a fabric with the appearance of leather, imitation leather, from a fabric that can be an elastic technical fabric, to which a paste is applied, formulated with an acrylic base resin with inorganic fillers, melamine resins, silicone antifoam, polyethylene glycol, urea, synthetic acrylic thickeners and water-based dyes, in suitable percentages for obtaining a fabric with the appearance of hide or leather that is antistatic, rupture resistant, tear resistant, cut resistant, abrasion resistant and impact resistant, providing an appearance similar to leather and with a high capacity for recovering the initial form of the fabric, due to its elasticity. The invention also refers to the product or fabric obtained with this process.