In Greek mythology, there were two people named Psamathe.
- Psamathe was a Nereid, the lover of Aeacus and mother of Phocus. Ovid XI, 398
- Daughter of Crotopus, the King of Argos and mother of Linus by Apollo. She feared her father and gave the infant Linus to shepherds to raise. He was torn apart by dogs after reaching adulthood and Psamathe was killed by her father, for which Apollo sent a child-killing plague to Argos.