Gasset or Gassett is a Spanish surname. Notable people with the surname include:
Gasset
Antonio Gasset (1946–2021), Spanish journalist, television host and film critic Eduardo Ortega y Gasset (1882–1964), Spanish lawyer and politician Jean-Louis Gasset (1953–2025), French footballer and manager José Ortega y Gasset (1885–1955), Spanish philosopher and essayist Rafael Gasset (1866–1927), Spanish lawyer, journalist, and politician
Gassett
Henry Gassett Davis (1807–1896), American orthopedic surgeon