Anaximenes is a low-rimmed lunar crater that is located near the north-northwest limb of the Moon. It lies to the west of the Philolaus crater, and northeast of Carpenter crater. To the northwest is the Poncelet crater, close to the visible edge of the Moon.

The outer rim of Anaximenes has been eroded and worn into a roughly circular ring of ridges. The rim is lowest along the northeast side where Anaximenes partly overlaps the equally-worn satellite crater 'Anaximenes G'. There are also low cuts through the rim along the southeast, where the crater is attached to an unnamed plain in the surface.

The interior floor of Anaximenes is relatively level, compared to the typical lunar terrain. The inner surface is pock-marked by a multitude of tiny craterlets of various dimensions, the most notable having a diameter of 2-3 kilometers.

Satellite craters

By convention these features are identified on Lunar maps by placing the letter on the side of the crater mid-point that is closest to Anaximenes crater.