The atom superposition and electron delocalization molecular orbital (ASED-MO) semiempirical method is used to analyse the atomic hydrogen-Fe interaction. The face centred cubic (fcc) Fe model contains a stacking fault and as a comparison the H-fcc Fe (normal) system is also studied. The solid is represented by a cluster of 180 metallic atoms distributed in five layers. The interstitial atoms localized in different geometric positions found an energetic minimum in a zone close to octahedral interstitial holes in the stacking fault. The electronic structure shows that the H-Fe bond involves mainly the Fe 4s and 4p orbitals and the 1s H orbital. The Fe-Fe bond near H is destabilized, to approximately 27% of its original value.