Arbitration Fairness Act of 2013 - Declares that no predispute arbitration agreement shall be valid or enforceable if it requires arbitration of an employment, consumer, antitrust, or civil rights dispute.

Declares, further, that the validity and enforceability of an agreement to arbitrate shall be determined by a court, under federal law, rather than an arbitrator, irrespective of whether the party resisting arbitration challenges the arbitration agreement specifically or in conjunction with other terms of the contract containing such agreement.

Exempts from this Act arbitration provisions in a contract between an employer and a labor organization or between labor organizations. Denies to any such arbitration provision, however, the effect of waiving the right of an employee to seek judicial enforcement of a right arising under the U.S. Constitution, a state constitution, a federal or state statute, or related public policy.