We have measured the nuclear transparency of the incoherent diffractive process in 12C and 56Fe targets relative to 2H using a 5 GeV electron beam. The nuclear transparency, the ratio of the produced ʼs on a nucleus relative to deuterium, which is sensitive to ρA interaction, was studied as function of the coherence length (), a lifetime of the hadronic fluctuation of the virtual photon, and the four-momentum transfer squared (). While the transparency for both 12C and 56Fe showed no dependence, a significant dependence was measured, which is consistent with calculations that included the color transparency effects.