Cuesta is a Spanish surname. Notable people with the surname include:
Alexander Cuesta (born 1966), Colombian musician
Gloria Cuesta (died 1987), Spanish aviator
Gregorio García de la Cuesta (1741–1811), Spanish general of the Peninsular War
Íñigo Cuesta (born 1969), former Spanish professional road bicycle racer
Ismael Fernández de la Cuesta (born 1940), Spanish musicologist
Jaime Cuesta (born 1981), Mexican professional footballer
Jorge Cuesta (1903–1942), Mexican chemist, writer and editor
José de la Cuesta (born 1983), Colombian footballer
Mario Fernández Cuesta (born 1988), Spanish professional footballer
Michael Cuesta (born 1963), American film and television director
Pablo González Cuesta (born 1968), Spanish writer
Paul de la Cuesta (born 1988), Spanish alpine skier
Raimundo Fernández-Cuesta (1897–1992), Spanish politician
Víctor Cuesta (born 1988), Argentine footballer
Yamith Cuesta (born 1989), Colombian footballer
