Electronic structure calculations are performed to determine the barriers to migration of molecular hydrogen in clathrate cages. The barriers are used in a chemical reaction rate expression to determine the rate of H2 migration and the diffusion coefficient for the hydrogen guest molecules. Calculations are performed for migration of hydrogen guests through pentagonal and hexagonal clathrate cage faces. Cage faces where the water molecules obey the water rules and cage faces with Bjerrum L and D defects are considered. The migration barriers were calculated to be ≈25 kcal/mol from the pentagonal faces and between 5 to 6 kcal/mol for the hexagonal faces, depending on the orientation of the hydrogen molecule.