Brunei Human Rights Act This bill authorizes the President to impose sanctions on any Brunei government officials responsible for implementing certain provisions in Brunei's penal code in a way that constitutes a gross violation of human rights. (Brunei has passed laws that call for the death penalty for offenses such as adultery and consensual same-sex relations.) The Department of State shall report annually to Congress on foreign countries that enforce laws targeting lesbian, gay, bisexual, transgender, and intersex (LGBTI) individuals; women; children; religious minorities; or other vulnerable populations. The State Department shall also report annually to Congress on its efforts to assist refugees from Brunei seeking asylum in other countries. The Department of Homeland Security shall report annually to Congress on the number of Brunei nationals seeking asylum in the United States and the outcome of such requests.