We have studied R-symmetrc gauge mediation models with Fayet-Iliopoulos
terms. We give a concrete example of hidden sector with an U(1)H​ gauge
theory and a Fayet-Iliopoulos term, which can induce distinctive soft terms in
the visible sector, and help solving fine tuning problems in models of
R-symmetric gauge mediation.Comment: 11 pages, 1 figur