The application of the linear Boltzmann equation as used in reactor and shielding problems to the transport of neutral atoms in a Tokamak-type plasma has been studied. The method was found to be generally valid with some limitations because of possible anisotropy of the plasma medium. Effective cross sections for the interaction of neutral atoms with an isotropic plasma were calculated and applied to the transport of hydrogen in a typical Oak Ridge Tokamak (ORMAK) plasma. The outer wall was found to have a significant effect on the hydrogen concentration.