The effect of hydrogen in metals requires a detailed study involving an analysis of the stress-strain tensor field, stemming from the introduction of hydrogen atoms to the system. A model is created, utilizing the strain-stress state generated by the hydrogen atom and the coupling effect between the hydrogen and metal atom. A set of equations are established for a spherical body in the context of theory of elasticity and stress components within the system are determined. The effect of hydrogen concentration along with hydrogenation and dehydrogenation are investigated involving theoretical analysis and analytical ratios. Calculations are obtained for spherical solid systems. The effects of hydrogenation was resulted in intensive compressive stresses near the surface of the sphere, whereas tensile stresses were occurred near its surface during dehydrogenation. (C) 2018 Hydrogen Energy Publications LLC. Published by Elsevier Ltd. All rights reserved.