By means of first-principles calculations, we found that the early characterized three-dimensional topological bulk Dirac semimetal of the P6 3 /mmc Na 3 Bi is dynamically unstable at the ground state due to the presence of the large imaginary phonon frequencies around the K point. Alternatively, our calculations suggest a new ground state phase which crystalizes in the P3c1 structure with a buckled graphite-like Na/Bi sheets, which is both energetically and dynamically more stable. Moreover, the calculations also uncovered that the P3c1 phase at the ground state is also a topological 3D Dirac semimetal, being exactly the same as the electronic states of the metastable P6 3 /mmc phase.