Offshore Oil and Gas Worker Whistleblower Protection Act of 2013 - Prohibits an employer from discharging, discriminating, or engaging in retaliatory actions against specified employees who report to a government official any violation or unsafe condition under the Outer Continental Shelf Lands Act.

Sets forth procedures for the filing, investigation, and adjudication of a complaint regarding such retaliation.

Requires employers to: (1) post a notice approved by the Secretary of Labor explaining employee rights and remedies under this Act in a conspicuous location in the place of employment where employees frequent; (2) provide training to employees about their rights under this Act within 30 days of employment, and at least once every 12 months thereafter; and (3) provide employees with a card containing a toll free telephone number at the Department of Labor to get information or file a complaint under this Act.

Directs the Secretary of Labor, within 30 days after enactment of this Act, to designate agency officials to receive, investigate, and adjudicate complaints concerning violations under this Act.