We employ double quantum interference to propose a ground-state cooling scheme for a nanomechanical resonator coupled to a triple quantum dot (TQD), of which the third dot is driven by a microwave field. In our scheme, the carrier transition is diminished by the destructive interference (the occurrence of a dark state) arising from the coherent tunnelings of electrons among the three dots. Furthermore, the additional transition induced by the microwave field enables the system to possess double quantum interference effect. Under certain conditions, the processes which might increase one phonon...