This paper surveys thermal shrinkage and stress in dyeing and finishing Processes of air-jet textured yams manufactured with Hema Jet T311 to the various processing conditions. Processing conditions of air-jet texturing adopt overfeed, air pressure and dry/wet effect. Polyester filaments used are 75d/36f semi-dull, which is used for core, and 75d/72f semi-dull, which is used for effect in the yam, respectively. The other polyester filaments used are 40d/24f, which are high shrinkable fibres and 50d/24f, which are cation fibres, both are used for core in the yarn. Thermal shrinkage and stress are measured by TMA and TSA. Processing shrinkages for simulating fabric shrinkage charateristics in the dyeing and finishing processes are measured under constant length, wet and dry heat treatments. These thermal shrinkage and stess characteristics are analyzed and discussed with various processing parameters of air-jet texturing.