Budget Reform Act of 2013 - Amends the Congressional Budget Act of 1974 (CBA) to require joint budget resolutions signed by the President instead of the concurrent resolutions now required (which do not have to be signed by the President). Revises accordingly the congressional procedures for considering budget resolutions.

Prescribes procedures for: (1) expedited consideration in each chamber of a presidential veto of a joint budget resolution; and (2) revision of a joint budget resolution already enacted.

Makes specified provisional continuing appropriations in the event that any regular appropriation bill for each fiscal year in a biennium does not become law before the beginning of such fiscal year, or a joint resolution making continuing appropriations is not in effect. (Thus prevents federal government shutdown.)

Requires biennial budget resolutions, appropriations Acts, and government strategic and performance plans instead of annual ones.