Lycomedes (also known as Lycurgus), in Greek mythology, was the King of Scyros during the Trojan War.

Before the war, Thetis sent her son Achilles, disguised as a girl, to Lycomedes's court, as a prophecy had decreed that he would die at Troy. It was there that Achilles married Lycomedes' daughter Deidamia, who bore a son, Neoptolemus. Odysseus and Diomedes came to Scyros seeking Achilles. Odysseus devised a trick to draw Achilles out of his disguise as a girl; Diomedes and Odysseus then took Achilles to Troy. Neoptolemus stayed with his grandfather until he too was summoned during the later stages of the war.

Plutarch says that Lycomedes also killed Theseus who had fled to his island in exile by pushing him off a cliff for he feared that Theseus would dethrone him.

1. A king of the Dolopians, in the island of Scyros, near Euboea, father of Deidameia, and grandfather of Pyrrhus or Neoptolemus. (Apollod. iii. 13. § 8.) Once when Theseus came to him, Lycomedes, dreading the influence of the stranger upon his own subjects, thrust him down a rock. Some related that the cause of this violence was, that Lycomedes would not give up the estates which Theseus had in Scyros, or the circumstance that Lycomedes wanted to gain the favour of Menestheus. (Plut. Thes. 35; Paus. i. 17, in fin.; Tzetz. ad Lycoph. 1324; Soph. Phil. 243; Apollod. iii. 13.)