National Commission on Employment and Economic Security Act - Establishes the National Commission on Employment and Economic Security to study and report on: (1) issues related to economic and psychological insecurity caused by employment displacement of U.S. workers; (2) relationships between psychological stress caused by such insecurity and increased violence by employees and former employees in the workplace and their private lives; and (3) economic and psychological effects of the decreasing number of well-paid jobs for U.S. workers. Directs the Commission to make recommendations, including ones for legislative and administrative action, regarding potential solutions to alleviate problems connected with the economic and psychological insecurity of U.S. workers.