Low-temperature positron lifetime and Doppler broadening measurements were made in MgO crystals containing D– or H– ions in order to investigate the temperature dependence of the positron trapping by D– and H– ions and elucidate the possible formation of PsD (PsH) states. Positrons are trapped at D– and H– ions once the oxygen vacancies, which are more effective positron traps, are eliminated by annealing the crystals at high temperatures in a reducing atmosphere. From the temperature dependence of the annihilation parameters the positron trapping coefficients for D– and H– centers were shown to increase with temperature between 100–300 K. The lifetime of the PsD (PsH) state is (650±30) ps and temperature independent. The dissociation rate of the PsD (PsH) state into D (H) and Ps is also temperature independent. No isotopic effect was observed.