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The low‐temperature orientationally ordered crystalline phase of fullerene C60 was investigated in dependence on the external pressure. An assumption was made that the energy of the lattice includes two contributions: a Lennard‐Jones (12–6) potential and electrostatic interaction. The vibrational spectrum of C60 crystal was calculated using the atom–atom potential method. The frequencies of intermolecular modes as functions of external pressure were studied. The sound velocities, elastic constants and bulk modulus are calculated. The dependence of sound velocities in fullerene crystal C60 on the external pressure is investigated. The results obtained are in good agreement with the available experimental data.

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