In this work a complete valence-band structure of ␣-MoTe 2 using angular-resolved photoelectron spectroscopy ͑ARPES͒ with synchrotron radiation is presented. The dispersion along the perpendicular component k ជ Ќ of the wave vector is found to be non-negligible for a number of states, especially at higher binding energies. The effect of this k ជ Ќ dispersion on the determination of the exact dispersion of the individual states along k ជ ʈ is discussed. By performing ARPES in the constant-final-state mode for off-normal emission spectra, at least the k ជ ʈ component can be determined unequivocally. Comparison of theoretical calculations with the resulting experimental valence-band structure shows partial agreement.