J-1 student status will allow you to remain in the U.S. for the duration of your full-time academic program. J-1 Students must have a substantial portion of their funding from a source other than personal. The spouse and dependent children of a J-1 student hold J-2 status and can usually obtain permission from DHS to work in the U.S.
J-1 Visa Application
J-1 Visa Regulations
Related J-1 Student Topics
From the U.S. Department of State