Coste is a surname. Notable people with the surname include:

• Alert V. Coste, Assistant Secretary of the Navy (Financial Management and Comptroller) (January 10, 1993 – December 11, 1993)
• Alexandre Coste (born 2003) is the son of Albert II, Prince of Monaco and Nicole Coste
• Carlos Coste (born 1976), a free-diver from Venezuela
• Charles Coste (born 1924), a French cyclist
• Christian Coste (born 1949), a former professional French footballer
• Christopher Robert Coste (born 1973), an author and Major League Baseball catcher
• Claudio Di Coste (born 1954), Italian volleyball player
• Elisabeth Coste (1748–1794), French cloth merchant and resistor
• Émile Coste (1862–1927), a French fencer
• Georges Coste (born Perpignan, 1944), a French rugby union coach and former player
• Gérard Coste (born 1939), a French painter and diplomat
• Jean-Baptiste Coste (1777–1809), a French painter
• Joanne Koenig Coste an advocate for patients with Alzheimer's Disease
• Jorge Coste (disambiguation), several people
• Jules Coste (journalist) (1840–1910)
• Louis de La Coste (1675–1750), a French composer
• Louise Zoé Coste or Louise Zoé Meynier (1805–?), a French painter
• Melanie Coste (born 1976), a French pornographic actress
• Michel Saloff Coste (born 1955), a French artist and professor
• Napoléon Coste (1805–1883), a French guitarist and composer
• Nicole Coste (born Lomé, 1971), a former Air France flight attendant from Togo
• Numa Coste (1843–1907), French painter and journalist.
• Paul Coste-Floret (1911–1979), a French politician
• Sharon Coste (born 1963), a French soprano of Canadian origin
• Xavier Pascal Coste (1787–1879), a French architect