We study the effect of electron-phonon interaction on current and zero-frequency shot noise in resonant tunnelling through a series triple-quantum-dot coupling to a local phonon mode by means of a nonperturbative mapping technique along with the Green function formulation.By fixing the energy difference between the first two quantum dots to be equal to phonon frequency and sweeping the level of the third quantum dot,we find a largely enhanced current spectrum due to phonon effect,and in particular we predict current peaks corresponding to phonon-absorption and phonon-emission assisted resonant tunnelling processes,which show that this system can be acted as a sensitive phonon-signal detector or as a cascade phonon generator.