Most American universities and colleges require students to provide enough vaccine records as one of the admission conditions. These vaccines usually include measles, mumps, rubella (MMR vaccine), chickenpox vaccine and Tdap vaccine. In addition, some schools may require influenza vaccination, especially during the high incidence of seasonal influenza.
In order to get accurate and up-to-date information, I suggest you contact the admissions office or the international student service office of the American school you apply for and ask them for specific information about vaccination requirements. They will be able to provide you with detailed instructions on the vaccines you need and submit vaccination records.