RM Auctions car specialist Donnie Gould says the cab is "a big piece of history." He estimates it will fetch around $30,000.
That's far more than the nickel Oswald paid for his 95-cent cab fare on Nov. 22, 1963.
Oswald hailed the cab after the bus he tried to escape in got stuck in traffic moments after President John F. Kennedy was fatally shot.
Oswald is accused of assassinating Kennedy, having fired the fatal shot from the sixth floor window of the old Texas School Book Depository in Dallas.