Fair Access to Science and Technology Research Act of 2013 - Requires each federal agency with extramural research expenditures of over $100 million to develop a federal research public access policy, following common procedures for the collection and depositing of research papers, that is consistent with, and that advances, the purposes of the agency.

Makes each federal research public access policy applicable to: (1) researchers employed by the federal agency whose works remain in the public domain, and (2) researchers funded by the agency. Specifies exclusions.

Requires each federal agency to submit an annual report on its federal research public access policy to specified congressional committees.