Giordani is an Italian surname. Notable people with the surname include:
Aldo Giordani (1914–1992) - Italian cinematographer
Carmine Giordano (c. 1685–1758) - Italian composer and organist
Claudia Giordani (born 1955) - Italian former alpine skier
Domenico Giordani, O.F.M. Obs. (died 1640) - Roman Catholic prelate, Bishop of Isernia
Francesco Giordani (1896–1961) - Italian research chemist and scientist
Giuseppe Giordani (1751–1798) - Italian composer of mainly operas
Igino Giordani (1894–1980), Italian politician, writer and journalist
Leonardo Giordani (born 1977) - former Italian cyclist
Ivan Giordani (born 1973) - Italian bobsledder
Leonardo Giordani (born 1977) - former Italian cyclist
Marcello Giordani (born 1963) - Italian operatic tenor
Pietro Giordani (1774–1848) - Italian writer, classical literary scholar
Tommaso Giordani (c. 1730-1733 – before 1806) - Italian composer active in England and in Ireland