Callippus /kəˈlɪp.əs/ may refer to:

• Callippus of Syracuse (died 352/51 BC), an Athenian student of Plato and tyrant of Syracuse
• Callippus (Calippus of Cyzicus, c. 370–300 BC), a Greek astronomer and mathematician
• Callippus of Athens (fl. 279 BC), an Athenian commander in the Battle of Thermopylae (279 BC)
• Calippus (crater), a small lunar crater
• Calippus (mammal), an extinct relative of the modern horse