The present paper deals with the evolution of texture in austenitic stainless steels during annealing after 95% cold rolling. After 95% cold rolling, the texture is mainly of the brass type {110} <112> along with a scatter towards the S orientation {123} <634> and Goss orientation {011} <100>. Weak evidence of Cu component is observed at this high deformation level. During annealing, recovery is observed before any detectable recrystallization. After recrystallization, the overall texture intensity was weak; however, there are some discernible texture components. There was no existence of the brass component at this stage. Major components are centered on Goss orientation and Cu component {112} <111> as well as the BR component {236} <385>. Also, there are some few orientations which come up after recrystallization i.e. {142} <2 –1 1> and {012} <221>. With increase in annealing temperature the textural evolution shows emergence of weak texture with another new component i.e. {197} <211>. The evolution of texture was correlated with the deformation texture through twin chain reaction.