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 750GeV 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 similar to(750GeV/similar to HC) (2)theta(HC), where theta(HC) is the hypercolor vacuum angle. (C) 2016 The Author(s). Published by Elsevier B.V