"Free Local Pickup" the listing says, adding, "Item location: Israel."
The 14-page document, the only one to be owned privately, lists the names of about 800 Jews Oscar Schindler tried to protect from Nazis.
He is believed to have eventually saved more than 1,000 Jews from the Nazi regime during World War II. His story inspired a novel and Steven Spielberg's Oscar-award winning movie of the same name starring Liam Neeson as Schindler and Ben Kinglsey as his Jewish accountant.
Zimet and Gazin are hoping to raise USD 5 million for the documents.
The bidding will go on for 10 days.
"We decided to sell the list on eBay because it has over 100 million worldwide members, and this is a global story. There are billionaires using the site, wealthy celebrities. We like the platform," said Gazin, who is the president of AuctionCause.com.
Two copies of the Schindler's list are in Israel's Yad Vashem Holocaust museum while the third one is in Washington DC's Holocaust museum.