  We present a closed-form expression for the supersymmetric non-Abelian
Chern-Simons action in conventional five-dimensional N=1 superspace. Our
construction makes use of the superform formalism to generate supersymmetric
invariants. Similar ideas are applied to construct supersymmetric actions for
off-shell supermultiplets with an intrinsic central charge. In particular, the
large tensor multiplet is described in superspace for the first time.
