The　notion　of　g-frame　is　a　generalization　of　that　of　frame.　It　has　interested　many　mathematicians　in　recent　years.　In　this　paper,　using　the　operator　theory　method,　we　obtained　some　parameterized　inequalities　for　g-frames　in　Hilbert　spaces.　In　the　case　of　introducing　parameters,　we　established　an　inequality　for　a　g-frame　and　its　canonical　dual.　And　we　obtained　a　converse　inequality　for　a　g-frame　and　its　alternate　duals.　These　obtained　results　generalize　the　existing　ones.　©　2018,　Editorial　Department　of　Journal　of　Beijing　University　of　Technology.　All　right　reserved.