Apremont is the name or part of the name of several communities:
France Apremont, Ain, in the Ain département Apremont, Ardennes, in the Ardennes département Apremont, Oise, in the Oise département Apremont, Haute-Saône, in the Haute-Saône département Apremont, Savoie, in the Savoie département Apremont, Vendée, in the Vendée département Apremont-la-Forêt, in the Meuse département Apremont-sur-Allier, in the Cher département
United States Apremont Triangle Historic District in Springfield, Massachusetts
See also Aspremont (disambiguation)