The thin-slab continuous casting is an important new technology in the world. The major key of this technology is to assure the good quality and the less crack of thin slab. Thus in this paper a two-dimension thermal elasto-plastic and creep stress (TEPC) model for thin slab strand is developed. The equations between stress and strain are given on thermal creep condition for elastic area, plastic area and the transitional area of thin-slab strand section.The formula of equivalent plasto-strain increment is obtained. The boundary conditions of the model given is fairly accurate. Therefore, the TEPC model is possessed of higher precision, and the model is also used to analyze the stress and strain distribution of strand in continuous casting.