  The color-magnitude diagrams of $\sim 1 \times 10^6$ stars obtained for 19
fields towards the Galactic bulge with the OGLE project reveal a well-defined
population of bulge red clump stars. We found that the distributions of the
extinction-adjusted apparent magnitudes of red clump stars in fields lying at
$l=\pm5\deg$ in galactic longitude differ by $\sim 0.4\; mag$. A plausible
explanation of this observed difference in the luminosity distribution is that
the Galactic bulge is a triaxial structure, or a bar, which is inclined to the
line of sight by no more than $45\deg$. The part of the bar at the positive
galactic longitude is closer to us. Work is now under way to model the Galactic
bar by fitting the observed luminosity functions in the red clump region for
various fields. Preliminary results indicate that the angle of the inclination
of the bar to the line of sight can be as small as $\sim20\deg$. Gravitational
microlensing can provide us with additional constrains on the structure of the
Galactic bar.
