Contact the Department of Vital Records or Health Services of the state or county of your birth. The website of the Centers for Disease Control and Prevention has links to all of the state departments.
Check the state requirements for the certificate, and request or download a certificate application form. Some states may require a sworn statement with the birth certificate application form. Others may ask for a photocopy of a government-issued photo identification, such as a driver's license.
Mail the form and any requested documents to the state office of vital records. There is a cost for this service.