Oblivious　transfer　(OT)　protocol　is　an　essential　building　block　for　secure　multiparty　computation.　The　transmission　of　quantum　messages　is　conductive　in　executing　complex　secure　multiparty　quantum　computation　tasks　and　even　distributed　quantum　computation　tasks.　However,　as　an　important　form　of　OT　protocol,　existing　all-or-nothing　OT　protocols　only　work　for　the　transmission　of　classical　messages　thus　limiting　application　scenarios.　To　tackle　this　issue,　a　counterfactual　all-or-nothing　OT　protocol　is　proposed　for　quantum　messages.　Compared　with　existing　all-or-nothing　OT　protocols　for　classical　messages,　the　proposed　protocol　has　three　advantages:　i)　it　is　achieved　without　any　physical　particles　traveling　between　the　sender　and　the　receiver　thus　reducing　the　communication　complexity;　ii)　no　prior　entanglement　between　the　sender　and　the　receiver　is　required　thus　facilitating　protocol　implementation,　and　iii)　it　works　for　known　even　unknown　quantum　messages　thereby　offering　broader　application　scenarios.