Abstract Interfacial inclusions greatly affect the load-carrying capacity of a laminated composite. In this paper, the elastic problem of a rigid line inclusion on the interface of dissimilar anisotropic media is studied. By using the analytic function approach, the field potential and the singularity coefficients for both non-oscillatory field and oscillatory field are obtained explicitly. The unknown rigid rotation vector in the field potentials is calculated by considering the equilibrium of the inclusion. The method and results developed in this paper can also be extended to study the corresponding problem of a set of collinear rigid inclusions.