The purpose of this legislation, titled the "No Safe Haven for Terrorist Families Act," is to enhance national security by making it more difficult for close relatives of foreign terrorists to enter or remain in the United States. The main objective is to prevent individuals who have familial ties to designated terrorists or foreign adversaries from gaining access to U.S. immigration benefits, which lawmakers believe could pose risks to national security. Key provisions of the law establish new rules regarding who is considered inadmissible to the U.S. based on their family connections.