Due　to　its　significance　in　reconstructing　signals,　the　theory　of　dual　frames　has　attracted　the　interest　of　many　mathematicians.　In　this　paper,　we　introduce　the　concept　of　approximate　Q-oblique　dual　g-frames.　We　characterize　the　approximate　Q-oblique　dual　g-frames　of　an　arbitrarily　given　g-frame;　present　a　method　for　constructing　approximate　Q-oblique　dual　g-frame　pairs　that　have　better　approximation　from　a　given　approximate　Q-oblique　dual　g-frame　pair;　and　investigate　the　stability　of　approximate　Q-oblique　dual　g-frame　pairs　under　the　analysis,　synthesis　and　frame　operator-perturbation,　the　gap-perturbation,　and　the　l2　operator　portrait-perturbation.　Finally,　as　an　application　of　the　above　results,　we　obtain　some　new　results　on　usual　frames　which　cover　some　existing　results.