The textile composite has good damage proof capability, better than laminate composites.The fabric reinforced composites enjoy a high specific strength, are easy tomanufacture and can take the advantage of the fully developod fabrictechniques, so they have already been extensively used in aviation,automobile and sports products. Because of their wide availability and theautomatic production, one has to contral the behavior of the materials precisely.Therefore, the research of the constitutive theoryis important. The experiment is developed to test the constitutive model. In this paper, the development of the textile and textile compositesis viewed first. Then the researches on the constitutive theory of the textile and thetextile composites are discussed. Next the slant extension experiment and picture-frame experiment of the textile and thetextile composites are introduced. At last, the directions of futurestudies on the textile and the textile composites are discussed.