Image　steganography　technique　is　widely　used　to　realize　the　secrecy　transmission.　Although　its　strategies　on　classical　computers　have　been　extensively　researched,　there　are　few　studies　on　such　strategies　on　quantum　computers.　Therefore,　in　this　paper,　a　novel,　secure　and　keyless　steganography　approach　for　images　on　quantum　computers　is　proposed　based　on　Moire　pattern.　Algorithms　based　on　the　Moire　pattern　are　proposed　for　binary　image　embedding　and　extraction.　Based　on　the　novel　enhanced　quantum　representation　of　digital　images　(NEQR),　recursive　and　progressively　layered　quantum　circuits　for　embedding　and　extraction　operations　are　designed.　In　the　end,　experiments　are　done　to　verify　the　validity　and　robustness　of　proposed　methods,　which　confirms　that　the　approach　in　this　paper　is　effective　in　quantum　image　steganography　strategy.