The Food and Drug Administration (FDA) sets tough standards that must be met before they will allow for an emergency use authorization (EUA) for a vaccine, which it granted to the Pfizer and Moderna vaccine in December 2020 and the Johnson & Johnson vaccine in February 2021. (NOTE: as of August 2021, the Pfizer mRNA vaccine has been granted FULL authorization by the FDA due to abundant evidence of its safety and efficacy).
The Centers for Disease Control and Prevention (CDC) also reviews vaccine studies along with a group of doctors and other vaccine experts who don’t work for the government. These groups found that the vaccines are safe. Safety information will continue to be gathered as more and more vaccinations are given.
Pfizer, Moderna and Johnson & Johnson all tested their vaccines on large groups of people. The Pfizer SARS-CoV-2 vaccine studies had 43,448 people, and the Moderna SARS-CoV-2 vaccine study had more than 30,000 people. The Johnson & Johnson vaccine clinical trials enrolled 45,000 people.