The interaction of neutral atoms with plasma ions and electrons in the edge plasma has been found to have an important effect on density limits, the L-H transition, plasma fueling and other phenomena. Thus, accurate calculation of the transport of neutral atoms and molecules recycling from the wall or divertor or injected into the plasma chamber is essential in many analyses. An accurate and computationally efficient “transmission/escape probabilities” (TEP) method, adapted from the interface current balance and escape probabilities methodology of neutron transport theory, has been developed in the Georgia Tech Fusion Research Center as an alternative to the time consuming Monte Carlo methods currently available. A 2D neutral particle transport code [8] based on the TEP method, GTNEUT, has been developed and benchmarked against experiment and Monte Carlo calculations and is available from NTCC Modules Library.