  We examine the implication of the recently observed 750 GeV diphoton excess
for the electric dipole moments of the neutron and electron. If the excess is
due to a spin zero resonance which couples to photons and gluons through the
loops of massive vector-like fermions, the resulting neutron electric dipole
moment can be comparable to the present experimental bound if the CP-violating
angle {\alpha} in the underlying new physics is of O(10^{-1}). An electron EDM
comparable to the present bound can be achieved through a mixing between the
750 GeV resonance and the Standard Model Higgs boson, if the mixing angle
itself for an approximately pseudoscalar resonance, or the mixing angle times
the CP-violating angle {\alpha} for an approximately scalar resonance, is of
O(10^{-3}). For the case that the 750 GeV resonance corresponds to a composite
pseudo-Nambu-Goldstone boson formed by a QCD-like hypercolor dynamics confining
at \Lambda_HC, the resulting neutron EDM can be estimated with \alpha ~ (750
GeV / \Lambda_HC)^2\theta_HC, where \theta_HC is the hypercolor vacuum angle.
