  Let $X$ be a smooth projective complex variety with an ample line bundle $L$,
and let $D$ be a simple normal crossing divisor. We establish the
Kobayashi-Hitchin correspondence between tame harmonic bundles on $X-D$ and
$\mu_L$-stable parabolic $\lambda$-flat bundles with trivial characteristic
numbers on $(X,D)$. Especially, we obtain the quasiprojective version of the
Corlette-Simpson correspondence between flat bundles and Higgs bundles.
