Magnetic moments of free and bound deuteron and triton are considered and new results for their magnetic moments (in units of that of the proton) and their g factors are presented. We report on a measurement with medium-pressure hydrogen deuteride (HD) at 10 atm, which is to be compared with the previous measurement done at 100 atm. We confirm that the high pressure used in former experiments caused no systematic effects at a level of 10 ppb. We also reexamined a theoretical uncertainty related to screening effects in HD and HT molecules and found that previously it was underestimated. The medium-pressure result obtained for the free deuteron µ d /µ p = 0.307 012 206 5(28) with a fractional uncertainty of 9.1·10 −9 is free of systematic effects related to former high-pressure experiments. The reevaluated result for triton is µ t /µ p = 1.066 639 908(10) with a fractional uncertainty of 9.3 · 10 −9 .