The design of greener materials is of great interest to develop eco-efficient construction systems, causing less environmental impact and following circular economy criteria. Accordingly, the current study aimed to analyze the viability to incorporate glass wastefrom construction and demolition-in gypsum composites, promoting a circular economy in the building construction sector. Gypsum-based composites were formulated using different percentages and particle sizes of glass waste, and samples were prepared. These samples were tested in the laboratory, and the following characteristics were determined: dry density, surface hardness, mechanical strength, water absorption by capillarity, and thermal conductivity. Analysis comparing these composites to reference gypsum without additions showed that it is viable to prepare gypsum composites with the addition of glass waste to reduce water absorption by capillarity, improve mechanical strength, and increase surface hardness. All composites comply with the minimum requirements set by regulations. Therefore, these composites can be applied in the manufacturing of gypsum prefabricated elements or as interior coatings requiring special surface hardness, improved water behavior, and mechanical strength properties.