Abstract: Sheets would be cracked during their deep drawing. In order to solve this problem, many scholars are mainly devoted to changing the blank-holder force to control the cracks in their published literatures. The paper introduces a texture coefficient and uses elastic-plastic mechanics and the relation between the material coefficient and the texture coefficient of Hill yield criterion to the relation between the texture coefficient and thickness increment during the deep drawing. Then the paper proves the relation through examples, we can reduce the possibility of crack occurrence during the deep drawing by changing the texture coefficient.