  We construct type IIB supergravity duals of non-anticommutative deformed N =
4 SU(N) gauge theories. We consider in particular deformations preserving N =
(1,0) and N = (1/2,0) supersymmetry. Such theories can be realised on N
D3-branes in specific self-dual 5-form backgrounds. We show that the required
5-form field strengths can be produced by configurations of intersecting
D3-branes and we are then able to construct the supergravity solutions in the
near-horizon limit. We consider some consequences of this duality, in
particular showing that the gravity duals predict that the dimensions of a
subset of BPS operators are not modified by the deformation.
