  We discuss how to incorporate non-supersymmetric branes in compactifications
of type II string theories. We particularly focus on flux compactifications on
$SU(3)\times SU(3)$ structure manifolds to four dimensions, so that a linear
$\mathcal{N}=1$ supersymmetry is spontaneously broken by spacetime filling
Dp-branes. Anti-Dp-branes are a very special subset of such branes but our
analysis is generic. We show that the backreaction of non-supersymmetric branes
can be incorporated into the standard 4d $\mathcal{N}=1$ supergravity by
including a nilpotent chiral multiplet. Supersymmetry in such setups is always
spontaneously broken and non-linearly realized. In particular this means that,
contrary to what was previously thought, brane supersymmetry breaking cannot be
simply described by a D-term in 4d $\mathcal{N}=1$ supergravity theories.
