In this article, we prove that for any compact K\"{a}hler manifold
$M^n$ with real analytic metric and nonpositive bisectional curvature,
there exists a finite cover $M'$ of $M$ such that $M'$ is a
holomorphic and metric fiber bundle over a compact K\"{a}hler manifold
$N$ with nonpositive bisectional curvature and $c_1(N)<0$, and the
fiber is a flat complex torus. This partially confirms a conjecture
of Yau.