An electro-hydrometallurgical process that extracts zinc from electric furnace dust (EAF dust) to produce zinc of high purity and fine particle size, including leaching EAF dust with an alkaline solution to form a zincates solution, separating the liquid and gangue in the zincate solution; inertizing the gangue, purifying the liquid by cementation and separating the liquid from precipitated solids; purifying the zincate solution obtained from the cementation by adsorption, at least partially evaporating the resulting pure solution, bleeding at least a fraction of the concentrated solution obtained; crystallizing at least a fraction of the concentrated solution, electro-depositing zinc from the concentrated solution; and separating washing and drying deposited Zn.