Components of the mobility tensor for electron and hole have been calculated in the tight binding approximation for 95°K and 290°K in anthracene crystal. The results for the temperature dependence of mobilities are in fair agreement with experiment. It follows from the performed calculations that, considering exchange effects, the application of the Hartree-Fock wave functions instead of those of the STO's (and possibly the potential of neutral hydrogens) should give good agreement with experiment for the anisotropy of the mobilities in both crystallographic planes.