Eastern Chad is facing dual outbreaks of measles and meningitis C as thousands flee conflict in neighboring Sudan.
At 997 cases, the South Carolina outbreak was the largest the US has seen in 35 years.
Kennedy also said recent nominee Erica Schwartz would be able to act freely and independently as head of the CDC.
The HHS secretary completes his second day of testimony before a House committee.
The 34 new US infections represent the smallest weekly measles increase so far this year.
RFK Jr. has said the MMR vaccine contains "millions of particles that were created from aborted fetal tissue, millions of DNA fragments." It does not.
South Carolina officials once again reported no new measles cases.
The US measles case count grew by 43 cases this past week, reaching 1,714 infections.
With measles becoming more common, experts recommend learning to recognize the symptoms and taking precautions to protect yourself and others.
Utah now has the most active outbreak in the country, with officials recording 24 new cases in the last five days.
