  We develop the formulation of DFT on pre-QP-manifold. The consistency
conditions like section condition and closure constraint are unified by a weak
master equation. The Bianchi identities are also characterized by the
pre-Bianchi identity. Then, the background metric and connections are
formulated by using covariantized pre-QP-manifold. An application to the
analysis of the DFT on group manifold is given.
