Nonadiabatic　holonomic　quantum　transformations　(NHQTs)　have　attracted　wide　attention　and　have　been　applied　in　many　aspects　of　quantum　computation,　whereas　related　research　is　usually　limited　to　the　field　of　quantum　physics.　Here　we　bring　NHQTs　into　constructing　a　unidirectional　acoustic　metamaterial　(UDAM)　for　shaping　classical　beams.　The　UDAM　is　made　up　of　an　array　of　three-waveguide　couplers,　where　the　propagation　of　acoustic　waves　mimics　the　evolution　of　NHQTs.　The　excellent　agreement　among　analytical　predictions,　numerical　simulations,　and　experimental　measurements　confirms　the　great　applicability　of　NHQTs　in　acoustic　metamaterial　engineering.　The　present　work　extends　research　on　NHQTs　from　quantum　physics　to　the　field　of　classical　waves　for　designing　metamaterials　with　simple　structures　and　may　pave　a　new　way　to　design　UDAMs　that　would　be　of　potential　applications　in　acoustic　isolation,　communication,　and　stealth.　©　2021,　Science　China　Press　and　Springer-Verlag　GmbH　Germany,　part　of　Springer　Nature.