The problems of absorption, storing and excretion of hydrogen by the fullerenes C20, C60, C80, C180, C240 and C540 under different eiterior conditions are investigated. Process of infiltration into fullerene and escaping from it of hydrogen molecules is investigated and the heating environments necessary for a steady storing of hydrogen inside fullerene are defined. Simulation of processes was made by methods of the molecular dynamic. The aggregated field of atoms force on a method "Amber" was used. Thus interactions: carbon - carbon atoms; hydrogen - hydrogen atoms in a molecule of hydrogen; molecules of hydrogen; atoms of carbon with hydrogen molecules were considered.