Nonadiabatic　holonomic　quantum　computation　has　attracted　increasing　interest　because　of　its　robustness.　Here,　based　on　the　shortcuts　to　adiabaticity,　a　scheme　to　construct　a　three-qubit　nonadiabatic　holonomic　gate　in　a　cavity　quantum　electrodynamics　system　is　proposed.　In　the　scheme,　the　three-qubit　holonomic　gate　is　implemented　in　a　single　step.　In　addition,　by　numerical　simulations,　it　is　shown　that　the　constructed　holonomic　quantum　gate　holds　characteristics　such　as　high　fidelity,　decoherence-resistance,　and　error-immunity.　©　2018　WILEY-VCH　Verlag　GmbH　&　Co.　KGaA,　Weinheim