Conon is a small but prominent lunar impact crater that lies in the eastern foothills of the Montes Apenninus mountain range.

The nearest craters possessing an eponym are Galen, about 70 kilometres (43 mi) to the east, and Aratus, about the same distance to the northeast.

The edge of Conon's rim is sharply defined and has not received significant erosion from later impacts.

The inner wall is somewhat variable in width, and the interior floor forms an irregular oval shape.

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