Tax Extenders Act of 2013 - Title I: Individual Tax Extenders - Amends the Internal Revenue Code to extend through 2014:

Extends through 2014 provisions allowing continuation of health care benefits for eligible trade adjustment assistance (TAA) and Pension Benefit Guaranty Corporation (PBGC) beneficiaries.

Title II: Business Tax Extenders - Extends through 2014:

Amends the Housing Assistance Tax Act of 2008 to extend through 2014 the exemption of the basic military housing allowance from the income test for programs financed by tax-exempt housing bonds.

Title III: Energy Tax Extenders - Extends through 2014: