We construct a consistent supersymmetric action for brane chiral and vector multiplets in a six-dimensional chiral gauged supergravity. A nonzero brane tension can be accommodated by allowing for a brane-localized Fayet-Iliopoulos term proportional to the brane tension. When the brane chiral multiplet is charged under the bulk U(1)R, we obtain a nontrivial coupling to the extra component of the U(1)R gauge field strength and a singular scalar self-interaction term. In the context of D = 5, N = 2, Yang-Mills Supergavity compactified on S 1/Z2 we consider the supersymmetric coupling of matter fields propagating on the brane. To solve the discrepancy between the bulk actions with limited field content and the wide range of brane actions that involve all the possible R-R forms, we have constructed a new formulation of IIA/IIB supergravity up to quartic order in fermions.