A relatively low-temperature carbon nanotube (CNT) synthesis technique, graphitic structure by design (GSD), was utilized to grow CNTs over glass fibers. Composite laminates based on the hybrid CNTs–glass fibers were fabricated and examined for their electromagnetic interfering (EMI) shielding effectiveness (SE), in-plane and out-of-plane electrical conductivities and mechanical properties. Despite degrading the strength and strain-to-failure, improvements in the elastic modulus, electrical conductivities, and EMI SE of the glass fiber reinforced polymer (GFRP) composites were observed.