Thixofoming of semi-solid metals is an innovativemetallic manufacturing method,but it is still in an initial stage on the research of the constitutive relationship of semi-solid metals.So far,people often utilizeTwo-phase Model of Martin,while some new research methods have occurred.Based on analysizing former studies,the paper concludes the developing actuality of the semi-solid metallic constitutive relationship under thixoforming both in China and abroad.It also comments the advantages and disadvantages of the constitutive relationship,and proposes a thought of establishing a new thixotropic constitutive relation.