Waste glass (WG) must be recycled to produce sustainable concrete and conserve natural resources. This paper aims to study the combined influence of glass powder (GP) and glass fiber (GF) on the behavior of concrete. GP was utilized as a partial replacement of fine aggregate by (10%, 20%, and 30%) of weight. GF was added with different ratios (0, 0.4%, 0.8%, and 1.2%) of concrete volume to improve the ductility of the concrete. Many tests were performed for hardened concrete such as compressive strength, modulus of rupture, indirect tensile strength, water absorption, and dry unit weight. A slump test was performed to assess the workability of fresh concrete. The influence of GP and GF on concrete microstructure using scanning electron microscopy (SEM) was studied. The results indicated that the mixture containing 0.8%GF, and 30%GP achieved the optimum value of compressive strength, modulus of rupture, and indirect tensile strength by 19.5%, 20%, and 22.3% with respect to the reference mix at 56 days of curing. The compressive strength of mixtures M6, M10, and M14 including 0.8%GF and GP with a ratio of 10%, 20%, and 30%, increased by 15.7%, 19%, and 19.5%, respectively at 56 days with respect to the control mix. The higher the percentage of GF, the lower the slump value. The water absorption rate of mixtures reduced as the percentage of GP increased with respect to that of the control mix. Micrographs of SEM showed the formation of crystals of calcium silicate hydrate in the concrete mixtures containing GP, this is evidence of the pozzolanic activity of the GP.