  The Cosmic no hair theorem is studied in anisotropic Bianchi brane models
which admit power law inflation with a scalar field. We note that all Bianchi
models except Bianchi type IX transit to an inflationary regime and the
anisotropy washes out at a later epoch. It is found that in the brane world,
the anisotropic universe approaches the isotropic phase via inflation much
faster than that in the general theory of relativity. The modification in the
Einstein field equations on the brane is helpful for a quick transition to an
isotropic era from the anisotropic brane. We note a case where the curvature
term in the field equation initially drives power law inflation on the
isotropic brane which is however not permitted without the brane framework.
