Do Americans also need a marriage certificate to get married?

A federal law in the United States requires people to provide their Social Security numbers when applying for a marriage license. It is this law that has forced thousands of couples in the United States, especially those who are illegal immigrants, to postpone their weddings. In desperation, some people have no choice but to go to neighboring states or neighboring countries with "relatively relaxed policies" to get their marriage certificates. This law has been in place for about 10 years, and it is said that the purpose of the regulations is to ensure that future child support payments are guaranteed. But in some parts of the country, this law even makes it impossible for some legal immigrants and U.S. citizens to get married. U.S. immigration officials and lawyers stressed that the law was not intended to prevent people from getting married. They said that one of the basic purposes of the U.S. Constitution is to "guarantee people's freedom to marry."