Strozzi is an Italian surname. Notable people with the surname include:
- Numerous members of the Strozzi family, an ancient later ennobled family from Florence
- Alessandra Macinghi Strozzi (c. 1408–1471), an Italian businesswoman and aristocrat
- Barbara Strozzi (1619–1677), an Italian singer and composer
- Filippo Strozzi the Elder (1428–1491), an Italian banker and aristocrat
- Filippo Strozzi the Younger (1489–1538), an Italian banker and aristocrat
- Filippo di Piero Strozzi (1541–1582), an Italian military officer
- Giulio Strozzi (1583-1652), a Venetian poet and libretto writer
- Leone Strozzi (1515–1554), an Italian military officer
- Lorenzo Strozzi (1513–1571), an Italian clergyman
- Palla Strozzi (1372–1462), an Italian aristocrat
- Peter Strozzi (1626–1664), an Austrian nobleman and general
- Piero Strozzi (c. 1510–1558), an Italian military officer
- Piero Strozzi (composer), an Italian aristocrat and composer
- Bernardo Strozzi (c. 1581–1644), an Italian Baroque painter and engraver
- Maja Strozzi-Pečić (1882–1962), a Croatian opera singer
- Marija Ružička Strozzi (1850–1937), a Croatian actress
- Tito Strozzi (actor) (1892–1970), a Croatian actor and writer
- Zanobi Strozzi (1412-1468), an Italian Renaissance painter and manuscript illuminator