Intellectual Property Anti-Piracy and Market Access Act

Intellectual Property Anti-Piracy and Market Access Act - Amends the copyright and patent laws to direct the U.S. Trade Representative to list all foreign countries and instrumentalities that deny adequate and effective protection of copyright, patent, and trademark rights to U.S. persons, specifying which countries are priority foreign countries based upon their practices and the potential market for U.S. products.

Requires the President to negotiate with the priority foreign countries to establish adequate and effective protection for U.S. persons' rights. Directs the President to take action, such as terminating, withdrawing, or suspending any portion of a trade agreement or duty-free treatment, if unable to reach an agreement on such issues. Authorizes the President to defer such actions upon certifying to the Congress that negotiations are making substantial progress.

Requires the President to consult with the Register of Copyrights, the Commissioner of Patents and Trademarks, and interested congressional Members and committees and to keep them informed of priorities, progress, and possible U.S. concessions.