Off-shell d=5 supergravity coupled to a Matter-Yang-Mills system

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