The map - one of the most important drawings in Disney history - was created as part of an effort to secure funding to build Disneyland.
It depicts areas of Disneyland that never materialised - such as the "Lilliputian Land" - and some that took a very different form.
For example, the fairy-tale castle was originally positioned in a corner instead of the centre.
The map, a pencil-and-ink drawing on paper, is roughly three by five feet. It was hastily sketched by Disney and his friend Herb Ryman over a weekend in September 1953.
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Curran had noticed the map sitting in a corner of Walt Disney's office in 1955, and had taken it home as a memento.
"That an artifact like this, which is so deeply rooted in the creation of Disneyland, still exists today is astonishing," Mike Van Eaton, an owner of the auction house was quoted as saying by 'The New York Times'.
Nearly 1,000 other Disneyland artefact - including original props, wardrobe, ride vehicles, and souvenirs - from 1953 to the present day will also be up for auction.
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