National Nurse Act of 2013 - Amends the Public Health Service Act to establish the position of National Nurse for Public Health within the Office of the Surgeon General. Requires the individual serving as the National Nurse for Public Health to serve also as the Chief Nurse Officer of the Public Health Service. Includes among the duties of such position providing leadership and coordination of Public Health Service nursing professional affairs for the Office of the Surgeon General and other agencies of the Public Health Service, conducting media campaigns, and providing guidance and leadership for activities that will increase public safety and emergency preparedness.

Requires the National Nurse for Public Health to: (1) participate in identification of national health priorities, (2) encourage volunteerism of nurses and strengthen the relationship between government agencies and health-related national organizations, and (3) promote the dissemination of evidence-based practice in educating the public on health promotion and disease prevention activities.