In 1572, the stonemason Pedro Veneciano and the bricklayer Luís de Vílches undertook to build the granary, in accordance with the conditions and plans dictated by Andrés de Vandelvira. The rectangular building defines the confluence of Corredera and San Antón streets with the Plaza de la Constitución. It stands in the expansion planned in the 16th century, outside the medieval enclosure, essentially made up of the castle and the Renaissance church built at the foot of it, in which, although perhaps not directly, Andrés de Vandelvira could intervene.

The ground floor, with an exposed stone factory, is in all probability the best preserved part, since the upper ones (originally compartmentalized in barns and built in brick and masonry) were later adapted for other local administrative functions. The uniqueness of this building is in the division traced by Vandelvira on the ground floor, made up of five small rectangular naves covered with parallel half-barrel vaults, popularly called the "positillos", built in ashlar masonry, which communicate directly with the exterior through base of semicircular openings, the central one being wider than the rest.

Typologically Vandelvira coined a model, developed in a similar way in the Baeza Farm, in which knowledge of the stereotomy or cut of the stone requires great perfection due to the need to isolate moisture to preserve the stored goods in the best conditions. Several heraldic shields are preserved in the building and, as a reminder of the recovery of the Advancement of Cazorla (in which the town of La Iruela was included) by the Archdiocese of Toledo, at the beginning of the 17th century it was placed by order of Archbishop Don Bernardo de Rojas and Sandoval in the chapter house an allusive inscription to perpetuate such an important event. It cost the Toledo miter a lot of effort and money to regain its old territory, which was seized from it in 1545 by Don Francisco de los Cobos, secretary of the Emperor Carlos V.