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In this paper we mainly discuss the properties of  Q -duals and  Q -approximate duals of g-frames in Hilbert spaces. Givenandbeing a pair of  Q -dual,being some kind of perturbed sequence ofin generalis not a  Q -approximate dual ofWe then give four different kinds of perturbed conditions such thatanda perturbed sequence ofare possible to be a pair of  Q -approximate dual. We also provide several different methods to construct  Q -duals and  Q -approximate duals of g-frames. Finally, we give two equivalent characterizations of  Q -duals and  Q -approximate duals by using the associated induced sequences.