The paper presents the general theory of stresses and displacements in a two-dimensional cross-anisotropic disc subjected to two diametrically opposite loads. Such an indirect tensile test is often used for paving materials and this theory provides the necessary background for the determination of the stiffness, Poisson's ratio, and the anisotropy ratio on a single sample. Two successive tests along two perpendicular diameters (directions of anisotropy) are sufficient for measuring the corresponding vertical displacements and one horizontal displacement.