2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/36204String cosmology models predict a stochastic cosmic background of gravitational waves with a characteristic spectrum. I describe the background, present astrophysical and cosmological bounds on it, and outline how it may be possible to detect it with gravitational wave detectors.6 pages, LaTeX, uses moriond.sty (included), 3 figures. Contribution to the proceedings of Moriond 98, Fundamental Parameters in Cosmology, Les Arcs, France (January 17-24, 1998)General Relativity and Quantum CosmologyAstrophysicsHigh Energy Physics - TheoryCosmic Gravitational Wave Background in String Cosmologytext