To provide an inexpensive polyamide stretch woven fabric having surface feeling of plane smoothness free from fluffiness and crepe while keeping excellent properties of polyamide synthetic filament yarn without using a polyurethane elastic yarn and having excellent adequate stretch property in length and width of the woven fabric.

This stretch woven fabric comprises false twisted textured yarn of polyamide synthetic fiber filament yarn to which a convergent smoothing agent in which high-melting wax is compounded is applied in melt spinning of the polyamide synthetic polymer.