The Supreme Court of the United States has ruled that the National Labor Relations Act does not authorize the NLRB to exercise jurisdiction over the lay faculty members at church-operated schools.
NLRB v. Catholic Bishop of Chicago, 99 S. Ct. 1313 (1979).
Daniel D. Harshman,
Labor Law - National Labor Relations Act - NLRB Jurisdiction - Lay Teachers in Church Operated Schools,
Duq. L. Rev.
Available at: https://dsc.duq.edu/dlr/vol18/iss1/12