We consider propagation of very high energy (VHE) gamma-rays in the radiati
on field of a massive star in the binary system Cen X-3. which has been rep
orted as a source of gamma-ray photons in the GeV and TeV energies. VHE gam
ma-rays or electrons. injected by the compact object, should develop invers
e Compton e(+/-) pair cascades. Based on the Monte Carlo simulations we pre
dict the gamma -ray spectra and the gamma -ray light curves for the paramet
ers of Cen X-3 system, and applying different models of injection of primar
y particles (monodirectional, isotropic, monoenergetic, power law). It is f
ound that the gamma-ray spectra observed at different directions have diffe
rent shapes and intensities. Interestingly, some gamma-rays may even escape
from the binary system at directions which are obscured by the massive sta
r, i.e. from the opposite side of the massive star to the location of the c
ompact source of primary gamma-rays or electrons. We predict that the gamma
ray light curves, produced in the case of electron injection by the compac
t 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
increase with phase in the first case and decrease with phase in the secon
d case. However the model with injection of primary electrons seems to be c
ontrary to the reported modulation of the GeV gamma -ray flux with the puls
ar's period. The model with injection of primary photons allows such modula
tion with the pulsar's period, but predicts strong modulation of the TeV fl
ux with the orbital period of the binary. Modulation of TeV emission with t
he orbital period was reported by the early Cherenkov observations, but was
not confirmed by the recent, more sensitive observations by the Durham Mar
k 6 telescope.