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

• Alexandre Coste (born 2003), illegitimate son of Albert II, Prince of Monaco, and Nicole Coste
• Anne-Lise Coste (born 1973), French painter
• Carlos Coste (born 1976), Venezuelan free-diver
• Charles Coste (1924–2025), French cyclist
• Chris Coste (born 1973), American baseball manager, former coach, former Major League Baseball catcher and author
• Christian Coste (born 1949), French former footballer
• Claudio Di Coste (born 1954), Italian volleyball player
• Elisabeth Coste (1748–1794), French cloth merchant and resistor
• Émile Coste (1862–1927), French fencer
• Eugene Coste (1859–1940), Canadian mining engineer
• Georges Coste (born 1944), French rugby union coach and former player
• Gérard Coste (born 1939), French diplomat and painter
• Iuliu Coste (1876–1967), Romanian attorney and politician
• Jean-Baptiste Coste (1777–1809), French painter
• Jean-François Coste (physician) (1741–1819) chief physician of the French expeditionary forces in the American Revolution
• Jean-François Coste (sailor) (fl. 1989), French sailor
• Joanne Koenig Coste an advocate for patients with Alzheimer's Disease
• Jorge Coste (footballer) (born 1988), Mexican footballer
• Jorge Coste (water polo) (born 1959), Mexican water polo player
• Jules Coste (1840–1910), French journalist and playwright
• Jules Costé (1828–1883), French lawyer and composer
• Louis de La Coste (1675–1750), French composer
• Louise Zoé Coste (1805–?), French painter, daughter of Jean-Baptiste Coste
• Melanie Coste (born 1976), French pornographic actress
• Michel Saloff Coste (born 1955), French artist and professor
• Napoléon Coste (1805–1883), French guitarist and composer
• Nicole Coste (born 1971), former flight attendant who had a son with Albert II, Prince of Monaco
• Numa Coste (1843–1907), French painter and journalist
• Pascal Coste (1787–1879), French architect
• Pascal Coste (politician) (born 1966), French politician
• Sharon Coste (born 1963), French soprano of Canadian origin