At Island Trees High School, the county will offer free vaccinations, and students who are not vaccinated will be barred after the spring break.
The authorities in Washington DC have decided to offer vaccinations against anthrax.
The University of Illinois offered all its students vaccinations in 1991 after seven students in nine months came down with meningitis and two died.
He also said some schoolchildren could miss the opening of school because of cutbacks in a program that offers required vaccinations.
A meningitis outbreak at the University of Connecticut has led health officials to offer vaccinations to students and staff members.
State health agencies have offered vaccinations as well.
In the clinics, Cuban doctors offer emergency medical care, vaccinations, check-ups and medicine for common illnesses.
The centers have skyrocketed in popularity, offering physical therapy, vaccinations, blood pressure monitoring and help with bathing and grooming.
Mr. Bush's plan calls for vaccinating 500,000 health care workers by spring, followed quickly by offering vaccinations to the 10 million more workers.
Under one plan, health officials would start by offering vaccinations to about 500,000 workers who would be most at risk of encountering any smallpox cases in hospitals.