The DS-2019 is a document for exchange programs that you require to apply for the J1 visa. The Department of State has designated responsibility to exchange offices, such as Intrax (our US headquarters), to ensure that interns meet the visa requirements. By submitting the DS-2019, Intrax provides the guarantee of the eligibility of your internship. Without this document, no J1 visa will be issued!
The DS-7002 is an internship / training plan that must be completed by host company. This section explains exactly what, when and how you learn during the internship, whether you are going through different departments and who will be your contact. The DS-7002 normally only has one phase for interns, since they do not have to have different phases / rotations (with the exception of hospitality internships) For trainees, who usually rotate in the company every three months, the DS-7002 is longer, as a new page has to be filled for each learning phase. This form is also required to apply for the visa.