Góngora is a Spanish surname. People bearing the surname include:
Alonso de Góngora Marmolejo (1523–1575), Spanish conquistador and chronicler in Chile
Canek Vázquez Góngora (born 1979), Mexican politician
Carlos Góngora (born 1989), Ecuadorian amateur boxer
Efraín Aguilar Góngora (born 1964), Mexican politician
Genaro David Góngora (born 1937), Mexican jurist and member of Mexico's Supreme Court of Justice
Jorge Góngora (1906–1999), Peruvian footballer
Julián Angulo Góngora (born 1953), Mexican lawyer and politician
Luis de Góngora (1561–1627), Spanish lyric poet of the Siglo de Oro
Mario Góngora (1915–1985), Chilean historian
Martín Góngora (born 1980), Uruguayan footballer
Michael Góngora (born 1970), American politician