Veterans National Remembrance Act - Directs the Secretary of Veterans Affairs (VA), in selecting a location for the establishment of a new national cemetery, to: (1) give priority to a state that does not have a national cemetery and that has the largest population of veterans among states without such a cemetary, and (2) ensure that such location is within 10 miles of a significant amount of the population to be served by such cemetery during the 25 years following its establishment.

Permits the Secretary, after establishing two national cemeteries, to waive the requirement of giving priority to a state that does not have a national cemetery if such waiver will allow the Secretary to establish a cemetery that will serve a larger population of veterans.