Raman spectroscopy measurements have been performed on ␣-, -, and ␥-Na x CoO 2 phases differing in their stacking of CoO 6 octahedra along the c-axis direction. The results demonstrate that, in general, there are five Raman active phonons for ␥-Na 0.75 CoO 2 , two Raman active phonons for ␣-NaCoO 2 , and three Raman peaks for -Na 0.6 CoO 2 . We have also performed Raman-scattering measurements on several ␥-͑Ca, Sr͒ x CoO 2 ͑0.15ഛ x ഛ 0.40͒ samples which show well-defined intercalated Ca/ Sr ordering. The experimental data show that the intercalated cation ordering could result in visible alterations on Raman spectral structures. The observations of the spectral changes along with the variation of the CoO 6 stacking, as well as the intercalated Sr/ Ca ordering suggest that the interlayer interaction plays an important role for understanding the phonon properties in this layered system.