Omar Khayyam is a lunar impact crater that is located just beyond the northwestern limb of the Moon, on the far side from the Earth.

This feature is located at the western edge of the larger walled plain Poczobutt, and the northwestern rim of Omar Khayyam is overlain by the crater Zsigmondy.

The east-southeastern part of the interior floor of Omar Khayyam is overlain by a smaller and younger crater.

The remainder of the interior floor is split in half by a ridge attached to the western outer rim of this crater, giving Omar Khayyam the appearance of a formation composed of multiple merged impacts.

The outer rim of Omar Khayyam is heavily eroded and has a wide gap to the southeast.