Nondimensional parameters that are needed to describe the stress field in an anisotropic bimaterial with tractions prescribed on its boundary are investigated. Two real matrices, which play an important role in representing the stress field, are proposed. They are shown to be an extension of the Dundurs parameters to the anisotropic bimaterial. A general solution of the stress and displacement fields in an anisotropic bimaterial with a straight interface is also obtained by using the complex function theory. In particular, a complete solution for the stress and displacement fields in the vicinity of the tip of an interfacial crack, between two dissimilar anisotropic elastic media, is also derived.