  It is widely believed that anisotropy in the expansion of the universe will
decay exponentially fast during inflation. This is often referred to as the
cosmic no-hair conjecture. However, we find a counter example to the cosmic
no-hair conjecture in the context of supergravity. As a demonstration, we
present an exact anisotropic power-law inflationary solution which is an
attractor in the phase space. We emphasize that anisotropic inflation is quite
generic in the presence of anisotropic sources which couple with an inflaton.
