  We present an off-shell formulation of matter-Yang-Mills system coupled to
supergravity in five dimensional space-time. We give an invariant action for
the general system of vector multiplets and hypermultiplets coupled to
supergravity as well as the supersymmetry transformation rules. All the
auxiliary fields are kept un-eliminated so that the supersymmetry
transformation rules remain unchanged even when the action is changed.
