In most cases a J-2 Visa holder may seek employment in the U.S.
To work, a J-2 Visa holder must file an I-765 form to obtain an Employment Authorization Document (EAD) from the Department of Homeland Security, U.S. Citizenship and Immigration Services. Learn more.
Money earned by a J-2 cannot be used to support the principal J-1 visa holder. Employed J-2 visa holders must verify that the employment earnings will only pay for the their personal expenses or the expenses of their children.
Link to more information for J-2 visa holders.