The commune covers an area of 12.41 km² (4.79 sq mi). Alain Chane is the mayor for the 2020-2026 tenure.
In the past, inhabitants of Moncel were known by their neighbours as culs crottés ("shit arses"), on account of the unusually clingy mud of their village.[3]
^Graham Robb, The Discovery of France, p36, Picador (2007), ISBN978-0-330-42761-6, citing Vital Collet "Sobriquets caractérisant les habitants de villages lorrains" in Le Pays lorrain, Nancy (1908), pp442-449 and Henri-Adolphe Labourasse, "Anciens us, coutumes, légendes, supersititions, préjugés, etc. du département de la Meuse" in Mémoires de la Société des lettres, sciences et art de Bar-le-Duc, 1902, pp3-225