Family Act of 2013 - Amends the Internal Revenue Code to allow a tax credit for 50% of qualified infertility treatment expenses. Limits the dollar amount of such credit to $12,970 for taxable years beginning in 2013, with a phase-out of such credit for taxpayers based on adjusted gross income. Defines "qualified infertility treatment expenses" as amounts paid for the treatment of infertility via in vitro fertilization if such treatment is provided by a licensed physician, surgeon, or other medical practitioner and is administered with respect to a diagnosis of infertility by a physician licensed in the United States.