In this paper, 2-D SH wave propagation and probe modeling in an anisotropic half-space is discussed. In deriving the equation of motion the assumptions are that the displacement is purely antiplane, that the problem is two dimensional and that the energy is transported purely in the plane. The probe, which is situated on the surface of the half-space, is modeled by the surface traction it is causing. An expression for this traction is obtained by modifying the traction of a plane wave. The wave propagation problem is then solved formally using Fourier transform techniques. The obtained expression is approximated for large distances from the probe using the method of stationary phase. Some numerical examples are presented which illustrate some of the properties of wave propagation in anisotropic solids.