  A dual conformal symmetry, analogous to the dual conformal symmetry observed
for the scattering amplitudes of N=4 Super Yang-Mills theory, is identified in
the Regge limit of QCD. Combined with the original two-dimensional conformal
symmetry of the theory, this dual symmetry can potentially explain the
integrability of the BFKL Hamiltonian. We also give evidence that the symmetry
survives when a subset of unitarity corrections are taken into account by
studying briefly the non-planar 2 to m reggeon transition vertices.
