Azambuja is a Portuguese surname occurring mainly in Brazil. Notable people with the surname include:

Diogo de Azambuja (1432–1518), Portuguese noble and explorer Marcos Azambuja (1935–2025), Brazilian diplomat Péricles Azambuja (1927–2012), Brazilian historian, writer and journalist Reinaldo Azambuja (born 1963), Brazilian politician and businessman

See also Luan Rodrigues (Luan Rodrigues Azambuja; born 1996), Brazilian footballer