The author of the famous fable 'The Tortoise and the Hare' is AESOP, a Greek storyteller who lived in the 6th century BC. AESOP is credited with writing many of the most well-known fables, including 'The Tortoise and the Hare', which is about a race between a slow-moving tortoise and a speedy hare. The moral of the story is that slow and steady wins the race. AESOP's fables have been translated into many languages and are still popular today.