Stöfler est un cratère de 126 Km et profond de 2800 m situé sur le plateau continental dans la partie méridionale de la Lune. Il se trouve à l'ouest du cratère Maurolycus. Le cratère tordu Fernelius (65 Km) est attaché au mur nordique. Le cratère Faraday (70 Km, 4090 m) a recouvert et endommagé la muraille orientale de Stöfler. Faraday étant aussi couvert alternativement par plusieurs plus petits cratères. La muraille de Stöfler est érodée, mais l'ensemble reste relativement intact excepté le mur recouvert par Faraday. Stöfler K (19 Km)  à  impacté  la muraille Nord-ouest et Stöfler F (18 Km) la base du mur intérieur Sud-ouest. Le plancher du cratère a été inondé par la lave, et est relativement plat et sans particularité dans la moitié Ouest, chaotique à l’Est. Le plancher a un bas albédo*, rendant le cratère relativement facile à identifier car il est l'un des quelques cratères dans cette région de la surface lunaire qui ont un plancher foncé. Au travers du plancher, on peut voir des traces blanches de l’éjecta du cratère Tycho et de nombreux craterlets.

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Stöfler is a large lunar impact crater located in the crater-riddled southern highlands. It sits to the west of Maurolycus crater. The distorted Fernelius crater is attached to the northern rim, and Miller and Nasireddin craters lie to the west. The Faraday crater has overlain and damaged the western rim, and this crater in turn has been overlaid by several smaller craters.
The rim of Stöfler is worn and eroded, but the outline remains relatively intact except where overlain by Faraday. The smaller 'Stöfler K' intrudes into the northwest rim, and 'Stöfler F' forms an indentation into the base of the southwest interior wall.
The crater floor has been filled in with deposits, either from lava flows or ejecta from basin impacts, and is relatively flat and featureless in the northwest half. If there was a central peak, it has now become buried. The floor has a low albedo, making the crater relatively easy to identify as it is one of the few craters in this region of the lunar surface that have a dark floor. Traces of bright ray material from Tycho crater, located to the west, can been seen across the floor.