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

  • Carlos Monge Medrano (1884–1970), Peruvian physician
  • Carlos Velásquez Monge, Guatemalan politician
  • Chucho Monge (1910–1964), Mexican composer
  • Edgard Monge (born 1965), Nicaraguan man convicted of assault for having unprotected sex without disclosing that he was HIV positive
  • Emiliano Monge (born 1978), Mexican writer and novelist
  • Fabian Monge (born 2001), Australian soccer player
  • Félix Arcadio Montero Monge (1850–1897), Costa Rican lawyer, politician and union leader
  • Gaspard Monge (1746–1818), French mathematician, politician and Comte de Péluse (Count of Pelusium)
  • Janet Monge, American anthropologist, academic and museum curator
  • Jean-Baptiste Monge (born 1971), French author and illustrator
  • Joaquín García Monge (1881–1958), Costa Rican writer
  • Johnny Araya Monge (born 1957), Costa Rican politician
  • Jorge Hernán Monge (1938–2019), Costa Rican footballer
  • José Trías Monge (1920–2003), Puerto Rican lawyer and judge
  • Josue Monge (born 1999), Costa Rican footballer
  • Jules Monge (1855–1934), French painter
  • Julian Monge Najera (born 1960), Costa Rican ecologist, editor, educator and photographer
  • Louis de Monge (1890–1977), Belgian engineer
  • Lucia Monge, Peruvian artist, academic and writer
  • Luis Monge (footballer) (born 1992), Argentine footballer
  • Luis Monge (mass murderer) (1918–1967), American mass murderer
  • Luis Alberto Monge (1925–2016), Costa Rican politician and President of Costa Rica from 1982 to 1986
  • Manuel Monge (military figure) (born 1938), Portuguese general and politician
  • Mauro Monges (born 1983), Paraguayan footballer
  • Mario Monge (1938–2009), Salvadoran footballer
  • Melissa Herrera Monge (born 1996), Costa Rican footballer
  • Néstor Monge (born 1990), Costa Rican footballer
  • Peter Monge, American academic and consultant
  • Priscilla Monge (born 1968), Costa Rican artist
  • Rolando Araya Monge (born 1947), Costa Rican politician
  • Sid Monge (born 1951), Mexican baseball player
  • Silvia Monge Villalobos (born 1967), Mexican politician
  • Ventura Monge Domínguez (1914–1937), Spanish army officer
  • Whitney Mongé (born 1987), American musician
  • Yolandita Monge (born 1955), Puerto Rican singer, songwriter, and actress
  • Zarela Villanueva Monge (born 1952), Costa Rican lawyer and judge