The House of Representatives on Wednesday approved the Tribal Labor Sovereignty Act, which excludes any enterprise owned and operated by an Indian tribe and located on a reservation from the definition of an employer. The proposed bill would still need to pass through Senate and then the White House before it became law. Given the failure of similar bills dating back as far as 2004, many suspect the bill will have difficulty getting approved by Senate. The NLRA still currently applies to Indian-owned businesses operating on reservations.
See "Legislation Exempting Tribes From The National Labor Relations Act Passes The House", The National Law Review, January 12, 2018