  We consider propagation of very high energy (VHE) gamma-rays in the radiation
field of a massive star in the binary system Cen X-3, which has been reported
as a source of gamma-ray photons in the GeV and TeV energies. VHE gamma-rays or
electrons, injected by the compact object, should develop inverse Compton pair
cascades. We predict the gamma-ray spectra and light curves for the parameters
of Cen X-3 system. It is found that the gamma-ray spectra, observed at
different directions, have different shape and intensity. The gamma-ray light
curves, produced in the case of electron injection by the compact object in the
Cen X-3 system, should have opposite tendencies for photons with energies above
100 MeV and above 300 GeV, i.e. the photon intensities increases with phase in
the first case and decreases with phase in the second case. However the model
with injection of primary electrons seems to be in contrary with the reported
modulation of the GeV gamma-ray flux with the pulsar's period. The model with
injection of primary photons allows such modulation with the pulsar's period,
but predicts strong modulation of the TeV flux with the orbital period of the
binary. Modulation of TeV emission with the orbital period has been reported by
the early Cherenkov observations, but was not confirmed by the recent, more
sensitive observations by the Durham Mark 6 telescope.
