Cozza is a surname of Italian origin. Notable people with the surname include:

• Carlo Cozza (c. 1700–1769), Italian painter
• Carmen Cozza (1930–2018), American football and baseball coach
• Cataldo Cozza (born 1985), Italian-German footballer
• Francesco Cozza (footballer) (born 1974), Italian footballer and manager
• Francesco Cozza (painter) (1605–1682), Italian painter
• Giuseppe Cozza-Luzi (1837–1905), Italian savant and abbot
• Liberale Cozza (1768–1821), Italian painter
• Lorenzo Cozza (1654–1729), Italian Roman Catholic cardinal, Franciscan friar, and theologian
• Lucos Cozza (1921–2011), Italian archaeologist
• Mathieu Cozza (born 2002), French rugby league footballer
• Nicolas Cozza (born 1999), French footballer
• Steven Cozza (born 1985), American road bicycle racer