Twenty-six-year-old Brendan Marrocco along with the surgeons who treated him will be at the Baltimore hospital on Tuesday to discuss the new limbs.
The transplants are only the seventh double-hand or double-arm transplant ever conducted in the United States.
The infantryman was injured by a roadside bomb in 2009. The New York City man also received bone marrow from the same dead donor. The approach is aimed at helping his body accept the new arms with minimal medication to prevent rejection.
The military is sponsoring operations like these to help wounded troops. About 300 have lost arms or hands in the wars.