Many States have adopted a Uniform Law on recognition of foreign marriages and divorces. If your state has such a law, and your marriage in Mexico is performed strictly according to the Mexican law, it is very likely that you need not do anything more to assure its validity in the US. Be sure to have a fully certified and valid Mexican certificate of divorce, and keep it in a safe place in case it has to be used in the future. In fact, probably both spouses should have a valid, certified copy of the certificate.
Answered on Aug 17th, 2015 at 3:32 PM