Tyche is listed as one of the Oceanids (daughters of the Titans Tethys and Okeanos) in the Theogony of Hesiod. Indeed, paired with her sister Eudora, she and her sibling together represent a combination of Bounty and Luck according to the Oxford Classical Dictionary. This same source also indicates that Tyche appears again as a personification associated with Bounty in the Homeric Hymn to Demeter.

It is also worth noting that Tyche was a highly regarded goddess in many of the cities of ancient Greece. She was worshipped and honored as a sort of patron deity of luck or fortune in these cities. Works of art were created to celebrate the power and prestige of this important goddess, and two of the most famous examples of ancient images of Tyche were the statue of Agathe Tyche (Good Fortune) by Praxiteles and the Tyche of Antioch by Eutychides. The Hellenistic Tyche of Antioch, in fact, was so popular that it became the prototype and standard upon which other images of the goddess were based.

Tyche was called Fortuna in Roman mythology.