The J-2 Visa is a non-immigrant visa issued by a consular official at a U.S. embassy. Eligibility for a J-2 Visa depends on the specific exchange program being offered to the J-1 non-immigrant by a sponsor organizations. The application procedure is the same as that for a primary visa applicant. The sponsor must approve the issued Form DS-2019. If you want to know everything about the J-1 Visa programs, please follow the link on the picture bellow.
You could see the whole procedure for J-1 visa on the following very useful video posted by the US Embassy on YouTube: