Using λ2536.5 mercury resonance radiation as exciter, the Raman spectrum of a single crystal of anhydrite has been investigated for three different orientations. Besides the nine Raman lines due to the sulphate ion, the recorded spectrum exhibits eight of the nine lattice lines to be expected theoretically. Their frequency shifts are 62, 126, 135, 151, 169, 184, 233 and 262 cm-1 From the observed variations in intensity with orientation, tentative assignments have been given to the lattice 1ines.