In virtually all semiconductors and insulators, hydrogen interstitials (Hi) act as negative-U centers, implying that hydrogen is never stable in the neutral charge state. Using hybrid density functional calculations, we find a different behavior for Hi in diamond and cubic BN. In diamond, Hi is a very strong positive-U center, and the H 0 i charge state is stable over a Fermi-level range of more than 2 eV. In cubic BN, a III-V compound similar to diamond, we also find positive-U behavior, though over a much smaller Fermi-level range. These results highlight the unique behavior of Hi in these covalent wide-band-gap semiconductors.