Re-entrant structures are known to perform an auxetic effect. It was aimed in this paper to investigate the Poisson's ratio of the woven pique structures because of the re-entrant lozenge effect of the weave. Sound absorption, air permeability, and synclastic properties of the fabrics concerning the auxetic properties of pique structures were also examined. In evaluating the synclastic behavior, the drape ability and bending rigidity of the fabrics were assessed. Pique weave fabrics were subjected to tensile tests, and the changes in fabric unit cell at different tensile strains were observed in the warp and weft directions. Experimental results showed that the auxetic effect was produced in the warp direction. A high negative Poisson's ratio (NPR) was obtained in cotton pique fabrics under low elongation values. It was observed that the yarn floating lengths and the yarns intersecting region widths forming the re-entrant lozenge pattern had effects on fabrics' NPR.