The coupled dipole approximation method has been extended to compute the scattering characteristics of three-dimensional, homogeneous, lossless, anisotropic objects. This method is simple, and does not require the solution of any integrodifferential equations. The method will work for any constitutive dyadic, provided it is lossless; furthermore, scatterers of any shape can be accommodated. Thus, this procedure will work well for any three-dimensional, lossless, anisotropic scatterer. Numerical results are given for uniaxial spheres made of titanium dioxide. >