Hackman, who died aged 95 earlier this year, had transitioned from an Oscar-winning acting career to a retirement focused on painting, writing novels, and collecting art.
The auction will feature items such as annotated books, scripts, movie memorabilia, and high-brow art, offering an intimate portrait of his private world.
Listings for the items, which include a Seiko diver's wristwatch and a dart board, will start from as low as $100.
Hackman and his wife, Betsy Arakawa, were found dead in their Santa Fe home on 26 February, with Hackman dying of heart disease and Alzheimer's, and Arakawa from hantavirus.