Woven fabrics made from non-stretch yarns yet having high levels of stretch and recovery are described. The fabrics include at least about 50% of a synthetic fiber component, and are woven such that the warp and filling are approximately balanced by weight before warp contraction, with about 50% warp density or less. The fabrics are exposed to a cumulative dynamic tension in the warp direction of at least about 250 min-lb/linear ft, and are then finished to about 70-80% of their reed width at a temperature greater than or equal to the heat set temperature for the synthetic fiber component. The fabrics may also be exposed to a face finishing process and/or a fluid treatment process.