Herodotus is a lunar impact crater located on a low shelf in the midst of the Oceanus Procellarum.

Almost due south on the mare surface is a solitary lunar dome designated Herodotus Omega (ω).

The crater Herodotus has a slightly irregular, narrow rim that appears somewhat oblong due to foreshortening.

There is a small craterlet overlapping the northwest rim, but otherwise the outer wall has not suffered significant wear.

By convention these features are identified on lunar maps by placing the letter on the side of the crater midpoint that is closest to Herodotus.