Soublette is a surname, a variant of Sublette. Notable people with this surname include:
Carlos Soublette (1789 – 1870), former President of Venezuela Juan Gabriel Valdés Soublette (born 1947), Chilean scientist, diplomat and former minister Isaac José Pardo Soublette (1905 – 2000), Venezuelan intellectual, politician, journalist, and essayist Sylvia Soublette (1924–2020) Chilean composer
See also La Soublette, a neighborhood of Catia La Mar, Venezuela