1. A son of Proteus and brother of Polygonus, was killed, together with his brother, by Heracles, whom they had challenged to a contest in wrestling. (Apollod. ii. 5. § 9; comp. POLYGONUS.)
2. A king of Egypt who married Io, after she had come to rest from her wandering and found her son Epaphus. (Apollod. ii. 1. § 3.) According to the Scholiast on Euripides (Or. 920) this Telegonus was a son of Epaphus and a brother of Libya.
3. A son of Odysseus by Circe. At the time when Odysseus had returned to Ithaca, Circe sent out Telegonus in search of his father. A storm cast his ship on the coast of Ithaca, and being pressed by hunger, he began to plunder the fields. Odysseus and Telemachus, on being informed of the ravages caused by the stranger, went out to fight against him; but Telegonus ran Odysseus through with a spear which he had received from his mother. (Comp. Horat. iii. 29. 8; Ov. Trist. i. 1, 114.) At the command of Athena, Telegonus accompanied by Telemachus and Penelope, went to Circe in Aeaea, there buried the body of Odysseus, and married Penelope, by whom he became the father of Italus. (Hes. Theog. 1014 ; Hygin. Fab. 127 ; Tzetz. ad Lycoph. 805 ; Eustath. ad Hom. pp. 1660, 1676; Serv. ad Aen. ii. 44; Lucian, De Salt. 46 ; Aristot. Poet. 14.) In Italy Telegonus was believed to have been the founder of the towns of Tusculum and Praeneste. (Ov. Fast. iii. 92, iv. 71; Horat. l. c. ; Dionys. Hal. iv. 45 ; Plut. Parall. Min. 41.) In some traditions Telegonus (also called Teledamus) is described as a son of Odysseus by Calypso. (Eustath. ad Hom. p. 1796.)