Analogies　between　quantum　image　processing　(QIP)　and　classical　one　indicate　that　quantum　image　scrambling　(QIS),　as　important　as　quantum　Fourier　transform　(QFT),　quantum　wavelet　transform　(QWT)　and　etc.,　should　be　proposed　to　promote　QIP.　Image　scrambling　technology　is　commonly　used　to　transform　a　meaningful　image　into　a　disordered　image　by　permutating　the　pixels　into　new　positions.　Although　image　scrambling　on　classical　computers　has　been　widely　studied,　we　know　much　less　about　QIS.　In　this　paper,　the　Hilbert　image　scrambling　algorithm,　which　is　commonly　used　in　classical　image　processing,　is　carried　out　in　quantum　computer　by　giving　the　scrambling　quantum　circuits.　First,　a　modified　recursive　generation　algorithm　of　Hilbert　scanning　matrix　is　given.　Then　based　on　the　flexible　representation　of　quantum　images,　the　Hilbert　scrambling　quantum　circuits,　which　are　recursive　and　progressively　layered,　is　proposed.　Theoretical　analysis　indicates　that　the　network　complexity　scales　squarely　with　the　size　of　the　circuit＇s　input　n.