Walter Faber (Sam Shepard) has survived a crash with an airplane. His next trip is by ship. On board this ship he meets the enchanting Sabeth (Julie Delpy) and they have a passionate love affair. Together they travel to her home in Greece, but the rational Faber doesn't know what fate has in mind for him for past doings.
When a hunter sent back to the prehistoric era runs off the path he must not leave, he causes a chain reaction that alters history in disastrous ways.