  Previous constructions of supersymmetry for double field theory have relied
on the so called strong constraint. In this paper, the strong constraint is
relaxed and the theory is shown to possess supersymmetry once the generalised
Scherk-Schwarz reduction is imposed. The equivalence between the generalised
Scherk-Schwarz reduced theory and the gauged double field theory is then
examined in detail for the supersymmetric theory. As a byproduct we write the
generalised Killing spinor equations for the supersymmetric double field
theory.
