The crystal structure of the title compound, which crystallizes as [ZnH(NPMe3)](4). 4THF forming colourless, very reactive blocks, obtained by recrystallization from toluene, reveals discrete tetrameric molecules with heterocubane structure with almost undistorted Zn4N4 cubic skeletons. The hydride ligands assume terminal exocyclic positions with Zn-H bond lengths of 150 pm in average.