(This measure has not been amended since it was reported to the House on June 2, 2017. The summary of that version is repeated here.) Veterans Equal Treatment Ensures Relief and Access Now Act or the VETERAN Act (Sec. 2) This bill amends the Internal Revenue Code to specify that, for the purpose of determining eligibility for the premium assistance tax credit, an individual may not be treated as eligible for coverage under certain Department of Veterans Affairs health insurance programs unless the individual is enrolled in the program. The bill applies to the premium assistance credit under current law for tax years ending after 2013 and, if the American Health Care Act of 2017 is enacted, the modified premium assistance credit that would take effect under that bill after 2019. (Under current law, the premium assistance tax credit is a refundable tax credit provided to eligible individuals and families to subsidize the purchase of health insurance plans through an exchange established under the Patient Protection and Affordable Care Act. Individuals eligible for minimum essential health coverage from certain sources other than the individual insurance market are not eligible for the credit.)