A 250‐molecule ice Ih crystallite has been melted at a pressure of about 2 kbars using molecular dynamics computer simulation. The ST2 potential has been used to represent molecular interactions. Melting was observed to begin at the crystallite surface and to proceed inward until the entire crystal was converted to an amorphous droplet. The melting point was found to be depressed by about 23 °C at 2 kbars in comparison with a corresponding calculation at ambient pressure. Quenches from various thermodynamic states were created to study the inherent structures in the fluid. Approximately 80%–90% of the latent heat of melting is due to the difference in the packing structures of the fluid compared to the crystal; the remainder may be ascribed to the greater anharmonicity of the fluid over the crystal.