Final answer:
Odysseus is the character who kills Antinous' father in Homer's epic poem The Odyssey.
Step-by-step explanation:
The character who kills Antinous' father is Odysseus. This event takes place in Homer's epic poem The Odyssey, which is not to be confused with the events in Sophocles' tragedies or other Greek plays and myths that involve characters like Oedipus, Antigone, Laocoon, and Achilles. Odysseus is known for his long and perilous journey home after the Trojan War, his cunning intelligence, and his eventual revenge against the suitors who have overrun his home, including Antinous.