Bringing Urgent Investment to Local Development Act or the BUILD Act - Amends the Internal Revenue Code, with respect to the tax credit for investment in Build America bonds, to: (1) make permanent the authority for issuance of such bonds, (2) phase in an annual reduction in the credit rate for bondholders and issuers between 2014 and 2019, and (3) allow an issuer a refundable credit amount for investment in economic development bonds in cities with specified unemployment and poverty rates and population loss.