Single　Sign-On　(SSO)　is　an　important　cryptography　mechanism　in　distributed　systems　and　is　implemented　in　many　known　systems,　such　as　the　famous　Kerberos.　Quantum　cryptography　has　excellent　security　properties　guaranteed　by　physical　principles　and　makes　great　influence　on　traditional　cryptography.　In　this　paper,　we　combines　the　SSO　mechanism　and　quantum　cryptography　together.　A　SSO　solution　under　quantum　cryptography　is　designed.　Through　security　analysis,　we　show　that　this　solution　has　good　security　properties.