Viviani is a small lunar impact crater that lies on the far side of the Moon.

[1] It is located due west of the prominent crater King, and just to the southeast of Katchalsky.

This is a roughly circular, bowl-shaped crater with a well-defined rim edge and an inner wall that is wider along the southeastern half.

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

Viviani, along with another crater, Bingham, is referenced in the Midsomer Murders season 14 episode 'Dark Secrets'.