Common Sense Housing Investment Act of 2013 - Amends the Internal Revenue Code, with respect to the tax deduction for mortgage interest, to: (1) allow, in lieu of such deduction, a tax credit for 15% of mortgage interest paid in a taxable year for the taxpayer's principal residence and one other residence; (2) provide for a phaseout of the tax deduction for mortgage interest between 2014 and 2018; (3) allow a deduction for interest and taxes relating to land for dwelling purposes owned or leased by cooperative housing corporations; and (4) increase the state housing credit ceiling for the low-income housing tax credit.

Directs the Secretary of the Treasury to apply the savings from the enactment of this Act to the Housing Trust Fund, for assistance under the Section 8 low-income housing program, and for the Public Housing Capital Fund.