Abstract: Because of the mathematical difficulty, exact solutions of the transverseinterface crack are rare. In this paper, on the basis of the exact solutionsfor the antiplane and plane symmetric cases, the exact solution of the planeanti-symmetric case has been obtained. On the two topics of the crack, theexact solutions of the SIF have also been obtained. These results areinteresting to the scientists and engineers who are working in the area ofinterface cracks. Further study must focus on the obtaining more exactsolutions of the complex elasticity and the influence of the largedeformation.