Thirteenth Amendment Commemorative Coin Act - Directs the Secretary of the Treasury to mint and issue the following coins in commemoration of the sesquicentennial anniversary of the passage of the Thirteenth Amendment to the Constitution (formally abolished slavery in the United States):

• up to 250,000 $50 bi-metallic platinum and gold coins,
• up to 250,000 $20 gold coins, and
• up to 500,000 $1 silver coins.

Requires such coins to be considered legal tender and numismatic items.

Permits the Secretary to issue such coins only during the calendar year beginning January 1, 2016, except that sales may be initiated, without issuance, before such date.

Requires specified surcharges received by the Secretary from the sale of such coins to be paid to the Smithsonian National Museum of African American History and Culture.

Directs the Secretary to ensure that: (1) the minting and issuing of such coins will not result in any net cost to the U.S. government; and (2) no funds, including applicable surcharges, are disbursed to the Museum until the total cost of designing and issuing all such coins is recovered by the Treasury.