A fraction of the interstellar neutral atoms crosses the interface bet
ween the solar wind and the ionized component of the local interstella
r medium, and enters the heliosphere. The number of penetrating atoms
depends on both the interface structure and the strength of the atom-p
lasma interaction, i.e. on the atom type. In this paper we consider th
e penetration of the interstellar oxygen. Oxygen atoms are of particul
ar interest, because they are strongly coupled with the protons throug
h charge exchange reactions, and because they are now observed under t
he form of pick-up ions and anomalous cosmic rays, providing new obser
vational tests of the processes at work at the boundary of the heliosp
here. Our calculations are based on the Baranov two-shock heliospheric
model (Baranov and Malama, 1993). Oxygen number density distributions
are computed through a Monte-Carlo simulation of the O and O+ flows t
hrough the H and H+ interface. The model accounts for direct charge-ex
change (O atoms with protons), reverse charge-exchange (O ions with ne
utral H), photoionization and solar, gravitation. Source distributions
of O+ pick-up ions resulting from oxygen atom ionization are also pro
duced, as well as density distributions of the oxygen ions in the heli
osphere, assuming that newly created oxygen ions are instantaneously a
ssimilated to the plasma. In the light of these results we compare the
recent measurements of pick-up oxygen ions with the Local Interstella
r Cloud oxygen abundance deduced from nearby star spectroscopy. The co
mparison shows that the measurements do not preclude, and even suggest
, a significant ionization of the ambient interstellar medium.