Spannocchi is an Italian surname. The surname also belonged to a prominent aristocratic family from Siena, Italy.
- Tiburzo or Tiburcio Spannocchi (1541–1609), chief engineer to kings Philip II and III of Spain
- Emil Spannocchi (1916–1992), Austrian military officer
- Giovanni Bonaventura Spannocchi (1742–1832), Minister of Justice for Kingdom of Italy 1802–1805
- Angelo Spannocchi (died 1614), Sienese jurist
- Pandolfo Spannocchi (fl. 17th-century), expert in miniature writing and his grandson of the same name published a collection of poems in 1717