Religious Freedom Peace Tax Fund Act of 2013 - Directs the Secretary of the Treasury to establish in the Treasury the Religious Freedom Peace Tax Fund for the deposit of income, gift, and estate taxes paid by or on behalf of taxpayers: (1) who are designated conscientious objectors opposed to participation in war in any form based upon their sincerely held moral, ethical, or religious beliefs or training (within the meaning of the Military Selective Service Act); and (2) who have certified their beliefs in writing to the Secretary.

Requires that: (1) amounts deposited in the Fund be allocated annually to any appropriation not for a military purpose, (2) the Secretary report to the House and Senate Appropriations Committees on the total amount transferred into the Fund during the preceding fiscal year and the purposes for which such amount was allocated, and (3) the privacy of individuals using the Fund be protected.

Expresses the sense of Congress that any revenue increase resulting from the creation of the Fund be allocated in a manner consistent with its purposes.