Abstract: The present invention is related to the process of obtaining CaO—MgO binders and construction products, with reuse of subproducts and/or residues and carbon dioxide, by compression molding (6). The binders are produced by crushing and grinding. The process of manufacturing the products consists of mixing binders and subproducts and/or residues with residual non-potable water (5), and curing this mixture with carbon dioxide (7), under constant humidity, temperature and pressure conditions. The process of hardening is carried out by recirculating carbon dioxide in a closed circuit, followed by drying of the products (12). The subproducts and/or residues contain calcium and magnesium and may be slag from the steel manufacturing industry or sand and mud resulting from the pulp, paper and cardboard production industry. The construction products may include other residues and materials containing silica and aluminum.