We design an acoustic switch based on a spiral kirigami metasurface using numerical simulations and evaluate its performance experimentally. By etching an Archimedean spiral on a thin aluminum sheet, a band gap in out-of-plane vibration modes can be generated. The band gap is significantly suppressed by axially stretching the kirigami spiral structure, extending sound propagation to a broader frequency range. The kirigami metasurface is easily deformed and manipulated and can switch the energy transmission on and off in the desired operating-frequency range, providing an alternative design strategy for acoustic metasurfaces.