Niobium-titanium alloys (NbTi) became the superconductors of choice in the early 1960s, providing a viable alternative to the A-15 compounds and less ductile alloys of niobium-zirconium. This can be attributed to the relative ease of fabrication, better electrical properties, and greater compatibility with copper stabilizing materials. This Article discusses the ramifications of design requirements, selection criteria and processing methods of superconducting fibers and matrix materials. It provides information on the various steps involved in the fabrication of superconducting composites, including assembly, welding, isostatic compaction, extrusion, wire drawing, twisting, and final sizing. The Article also provides a detailed account of the properties and applications of NbTi superconducting composites.